nLab Author — Samuel Adrian Antz

Overview

Samuel Adrian Antz has contributed to 744 nLab pages.

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• (p,q)5-brane
• 10-manifold
• 10j symbol
• 11-manifold
• 12-manifold
• 13-manifold
• 14-manifold
• 15-manifold
• 16-manifold
• 2-orient group
• 2-orientation
• 2-oriented bordism
• 2-plectic geometry
• 2-spin bordism
• 2-spin group
• 2-spin structure
• 3-manifold
• 4-manifold
• 5-manifold
• 6-sphere
• 7-manifold
• 7-sphere
• 8-manifold
• 9-manifold
• abelian Chern-Simons theory
• ABJM theory
• Achilleas Passias
• ADE classification
• ADE singularity
• AdS-QCD correspondence
• Aleksandar Milivojević
• Alessandro Tomasiello
• Alex Waldron
• Alexandrov space
• Alexei Kovalev
• Alfred Gray
• algebraic category
• algebraic cobordism
• algebraic K-theory spectrum
• algebraic structure
• algebraic surface
• Aloff-Wallach space
• Andrea Ratto
• Andreas Brandhuber
• Andreas Braun
• Andrei Micu
• Andrew Lobb
• Andrew Wiles
• András Stipsicz
• Antonella Grassi
• Antonin Delpeuch
• Aravind Asok
• Archimedes
• Arens-Fort space
• Arnold-Kuiper-Massey theorem
• associative 3-form
• associative submanifold
• Atiyah 2-framing
• Atiyah-Segal completion theorem
• axion
• Ayşe Hümeyra Bilge
• B-bordism
• balanced product
• balanced smash product
• basic complex line bundle on the 2-sphere
• basic ideas of moduli stacks of curves and Gromov-Witten theory
• Bernhard Hanke
• Bi-Yang-Mills equation
• black holes in string theory
• Bo Dai
• BO(n)
• Bobby Acharya
• Boris Botvinnik
• bottom-up and top-down model building
• BPST-instanton
• brane intersection
• Brent Doran
• BSO(n)
• BSU(n)
• BU(n)
• bundle gerbe
• calibration
• cancellative category
• Carlos S. Shahbazi
• cartesian closed functor
• cartesian product
• Casey Lynn Kelleher
• Casson invariant
• Cayley plane
• Changpeng Pan
• charged and rotating black holes -- table
• Chen Ning Yang
• Chern class
• Chern insulator
• Chern number
• chiral fermion
• Christopher Pope
• circle group
• circle n-bundle with connection
• classifying space
• Clifford Taubes
• cobordism category
• cobordism hypothesis
• cocomplete category
• cohomotopy
• Cole Comfort
• complex oriented cohomology theory
• complex projective space
• condensed set
• cone (Riemannian geometry)
• configuration space of points
• confinement
• conifold transition
• connected sum
• connection on a bundle
• Conner-Floyd Chern class
• Conner-Floyd isomorphism
• contact manifold
• contributors to algebraic geometry
• coset space structure on n-spheres -- table
• CP violation
• cubical structure on a line bundle
• Cumrun Vafa
• curvature characteristic form
• D3-D5 brane bound state
• D4-D8 brane bound state
• D6-D8-brane bound state
• D8-brane
• D=0 TQFT
• D=1 Chern-Simons theory
• D=10 super Yang-Mills theory
• D=11 Chern-Simons theory
• D=11 N=1 supergravity
• D=11 supergravity Lie 3-algebra
• D=12 supergravity
• D=14 supersymmetry
• D=2 Chern-Simons theory
• D=2 QCD
• D=2 quantum gravity
• D=2 SCFT
• D=2 supergravity
• D=2 TQFT
• D=2 Yang-Mills theory
• D=3 Chern-Simons theory
• D=3 N=1 super Yang-Mills theory
• D=3 N=2 super Yang-Mills theory
• D=3 N=4 super Yang-Mills theory
• D=3 quantum gravity
• D=3 supergravity
• D=3 TQFT
• D=3 Yang-Mills theory
• D=4 Chern-Simons theory
• D=4 N=1 super Yang-Mills theory
• D=4 N=2 super Yang-Mills theory
• D=4 N=4 super Yang-Mills theory
• D=4 supergravity Lie 2-algebra
• D=4 TQFT
• D=4 Yang-Mills theory
• D=5 Chern-Simons theory
• D=5 super Yang-Mills theory
• D=5 supergravity
• D=5 Yang-Mills theory
• D=6 Chern-Simons theory
• D=6 N=(1,0) SCFT
• D=6 Seiberg-Witten theory
• D=6 super Yang-Mills theory
• D=6 supergravity
• D=6 Yang-Mills theory
• D=7 Chern-Simons theory
• D=7 Seiberg-Witten theory
• D=7 super Yang-Mills theory
• D=7 supergravity
• D=7 Yang-Mills theory
• D=8 Seiberg-Witten theory
• D=8 supergravity
• D=8 Yang-Mills theory
• D=9 supergravity
• Da Rong Cheng
• Daniel C. Cohen
• Dario Rosa
• David Mumford
• de Sitter spacetime
• decalage
• definite form
• Deligne cohomology
• Denis-Charles Cisinski
• determinant
• differential function complex
• Dirac monopole
• discrete torsion
• Dixmier-Douady class
• Dominic Joyce
• Don Page
• Donaldson theory
• Donaldson's theorem
• doublet-triplet splitting problem
• Dragon's theorem
• dual Stiefel-Whitney class
• duality between M-theory and type IIA string theory
• duality between M/F-theory and heterotic string theory
• E. J. Brody
• Edward Witten
• EI-category
• Einstein manifold
• Einstein-Yang-Mills theory
• Einstein-Yang-Mills-Dirac-Higgs theory
• electromagnetic field
• Eleny-Nicoleta Ionel
• Emil Prodan
• Emily Riehl
• empty 221
• enhanced gauge symmetry
• equivariant elliptic cohomology
• Eschenburg space
• exceptional generalized geometry
• exceptional geometry
• exceptional Lie group
• exceptional naturalism
• exceptional structures -- contents
• exercise in groupoidification - the path integral
• exotic 7-sphere
• exotic smooth structure
• E₁₀
• E₁₁
• E₆
• E₇
• E₈
• E₈ lattice
• E₈ manifold
• E₉
• F-theory
• F-theory on Spin(7)-manifolds
• F-Yang-Mills equation
• F/M-theory on elliptically fibered Calabi-Yau 4-folds
• Fabio Apruzzi
• Federico Bonetti
• Ferdinand Veldkamp
• fermionic path integral
• Field
• field
• field (physics)
• fine model structure on topological G-spaces
• finitely complete > history
• first-countable space
• fivebrane bordism
• fivebrane structure
• flavor on heterotic M5-branes -- references
• flavour anomaly
• flavours of cobordism cohomology theories -- table
• flop transition
• flux compactification
• flux quantization in superconductors -- section
• formal group
• fractional D-brane
• Frances Kirwan
• Frank Reidegeld
• Freudenthal magic square
• Freund-Rubin compactification
• Frobenius morphism
• Fukaya category
• function field analogy
• F₄
• G-delta subspace
• G2-conifolds -- references
• Gang Tian
• Gary Gibbons
• gauge boson
• gauge field
• gauge theory
• gauge-Higgs unification
• generalized Calabi-Yau manifold
• generalized G₂-manifold
• generalized Spin(7)-manifold
• geometric engineering of quantum field theory
• geometric quantization
• geometric quantization of the 2-sphere
• geometry of physics -- BPS charges
• geometry of physics -- flux quantization
• geometry of physics -- fundamental super p-branes
• geometry of physics -- integration
• geometry of physics -- prequantum geometry
• Gerhard Frey
• global equivariant indexing category
• gluino
• Gopakumar-Vafa invariant
• Gordon Kane
• Gorō Shimura
• Gottfried Curio
• Green-Schwarz action functional
• Greg Egan
• Gregory Moore
• Grigori Perelman
• Gromoll-Meyer sphere
• Gromov-Witten invariants
• group cohomology
• Guozhen Wang
• GUT
• G₂
• G₂ manifold
• G₂-conifold
• G₂-MSSM
• G₂-orbifold
• G₂/SU(3) is the 6-sphere
• Haldane model
• Hans Jockers
• Hantzsche-Wendt manifold
• harmonic map
• Harold Donnelly
• hemicompact space
• heterotic M-theory on ADE-orbifolds
• heterotic string theory on CY3-manifolds
• hidden sector
• Hideo Shimizu
• hierarchy problem
• Higgs field
• higher Cartan geometry
• higher category theory and physics
• higher curvature corrections to D=11 supergravity -- references
• higher prequantum geometry
• Hilbert modular variety
• Hilmar Wendt
• Hiro Lee Tanaka
• Hiroshi Toda
• Hirotaka Hayashi
• Hitchin functional
• Hitchin-Thorpe inequality
• holomorphic Chern-Simons theory
• homology of MG
• homology sphere
• homotopy equivalence
• homotopy sphere
• Hopf fibration
• Ibrahima Bah
• image of J -- table
• induced representation
• infinite-dimensional Chern-Simons theory
• infinite-dimensional sphere
• infinity-Chern-Weil theory introduction
• initial object
• injective envelope
• instanton in QCD
• integrability of G-structures
• integral Stiefel-Whitney class
• intersecting D-brane model
• intersection pairing
• Introduction to Cobordism and Complex Oriented Cohomology
• Isadore Singer
• James Eells
• James Halverson
• Jan Manshot
• Jan Segert
• Jason Lotay
• Jeffrey Streets
• Jianquan Ge
• John Douglas Moore
• John Horton Conway
• John Milnor
• John Thorpe
• Jonathan Buchanan
• Jordan triple system
• Joseph H. Sampson
• Joseph Lipman
• Jost-Hinrich Eschenburg
• Jürgen Eichhorn
• K3 surface
• Kac-Moody group
• Kalb-Ramond field
• Kaluza-Klein mechanism
• Karen Uhlenbeck
• Katrin Wehrheim
• Keith Mills
• Kellogg Stelle
• Kenji Fukaya
• Kenneth Intriligator
• Kerr-de Sitter spacetime
• Kerr-Newman-de Sitter spacetime
• Kervaire-Milnor group
• Khovanov homology
• Killing spinor
• Kimyeong Lee
• Kirby-Siebenmann invariant
• KK-compactifications of M-theory -- table
• Klein bottle
• Konstantin Pimenov
• Kronheimer-Mrowka basic class
• Landweber exact functor theorem
• Laurence Taylor
• Lawvere theory
• lens space
• Lesley Sibner
• Lie group
• Lie triple system
• line bundle
• linearized Seiberg-Witten equations
• linearized Yang-Mills equation
• link cobordism
• Liviu Nicolaescu
• Lixin Xiao
• locally presentable category
• Lorenz Schabrun
• Lorenzo Sadun
• low dimensional manifolds -- table
• Lucile Vandembroucq
• M-string
• M-theory on G₂-manifolds
• M2-Orient
• M2-Spin
• M5-brane
• M5-MO9 brane bound state
• magnetic charge
• Malcolm Perry
• Mamoru Mimura
• Marc Hoyois
• Marco Fazzi
• Marco Zambon
• Mariana Graña
• Mark Grant
• massive type IIA string theory
• massive type IIA supergravity
• matter
• membrane instanton
• metacompact space
• metric cone over complex projective 3-space
• MFivebrane
• Michael Atiyah
• Michael Duff
• Michael Farber
• Michael Faux
• Michael Weiss
• Michel Kervaire
• microbundle
• Mikhail Gromov
• Milnor-Quillen theorem on MU
• Min-Chun Hong
• Mirjam Cvetič
• MNinebrane
• model (in theoretical physics)
• model structure on simplicial Lie algebras
• moduli space of Riemannian metrics
• moduli stabilization
• Mohammed Labbi
• monoidal category
• monopole
• motivation for sheaves, cohomology and higher stacks
• motivic quantization
• motivic Thom spectrum
• Moustafa A. Awada
• MSpin
• MSpinʰ
• MSpinᶜ
• MSSM
• MString
• MTO
• MTSO
• multi-adjoint
• multilimit
• N=1 susy compactifications -- table
• Naichung Conan Leung
• Nathan Jacobson
• Nathan Seiberg
• natural transformation
• naturalness
• near-horizon geometry
• Nedim Değirmenci
• neutrino
• Nigel Higson
• Nigel Hitchin
• ninebrane bordism
• ninebrane structure
• Nolan Wallach
• Nonabelian Algebraic Topology
• normed division algebra Riemannian geometry -- table
• NS5-brane
• Nülifer Özdemir
• obstruction
• octonion
• octonionic Hopf fibration
• octonionic projective space
• Oleg Smirnov
• orbifold
• ordinary differential cohomology
• orientations in higher quantization - table
• orientifold
• orientifold plane
• orthocompact space
• orthogonal group
• Oscar Zariski
• p-curvature
• P-space
• Pan Zhang
• paracompact topological space
• particular principal bundles -- table
• Paul Olum
• Paul Townsend
• perfect infinity-stack
• Perry-Schwarz action
• Peter Higgs
• Peter Kronheimer
• piecewise flat spacetime
• pillowcase orbifold
• pinᶜ bordism
• pin⁺ bordism
• pin⁻ bordism
• Poisson manifold
• Pontrjagin number
• Pontrjagin ring
• Pontryagin class
• Pontryagin's theorem
• prequantum geometry
• principal bundle
• principal ideal domain
• principal infinity-bundle
• principal O(2)-bundle
• principal SO(3)-bundle
• principal SO(4)-bundle
• principal SO(5)-bundle
• principal SO(6)-bundle
• principal SO(7)-bundle
• principal SO(8)-bundle
• principal Sp(2)-bundle
• principal SU(2)-bundle
• principal SU(3)-bundle
• principal SU(4)-bundle
• principal U(1)-bundle
• principal U(2)-bundle
• principal U(3)-bundle
• probability theory
• projective unitary group
• protection from quantum corrections
• pseudo-Riemannian Seiberg-Witten theory
• PU(ℋ)
• Qi Zhu
• Qiaochu Yuan
• quantization of D=3 Chern-Simons theory
• quaternionic projective plane
• quaternionic projective space
• quaternionic Seiberg-Witten theory
• Rajesh Gopakumar
• Ralf Aurich
• Randall-Sundrum model
• rational homology sphere
• rational homotopy sphere
• real closed field
• real oriented cohomology theory
• real projective space
• reduced phase space
• reduction and lift of structure groups
• Reiko Miyaoka
• Reissner-Nordström wormhole
• Reissner-Nordström-de Sitter spacetime
• relativistic particle
• Ren Guan
• Richard Thomas
• Riemannian orbifold
• rigid object
• Robert Bryant
• Robert Gompf
• Robert Mills
• Robert Sibner
• Robion Kirby
• Rokhlin's theorem
• RR-field tadpole cancellation
• Ryomei Iwasa
• s-rule
• Sakura Schäfer-Nameki
• Sandbox
• Sasakian manifold
• Schwarzschild wormhole
• Schwarzschild-de Sitter spacetime
• Science of Logic
• second-countable space
• Segre class
• Seiberg-Witten equations
• Seiberg-Witten flow
• Seiberg-Witten invariant
• Seiberg-Witten moduli space
• Seiberg-Witten theory
• Seiberg-Witten theory -- table
• self-dual Yang-Mills theory
• semi-locally simply-connected topological space
• semi-topological D=4 Chern-Simons theory
• Sen Hu
• separation axioms in terms of lifting properties
• Serge Tabachnikov
• Sergey Yuzvinsky
• Shimizu L-function
• shtuka
• sigma-model
• signature defect
• Simon Aloff
• Simon Donaldson
• Simon Salamon
• simplicially enriched category
• smooth infinity-groupoid -- structures
• Snaith theorem
• SO(12)
• SO(3)
• SO(4)
• SO(5)
• SO(7)
• SO(8)
• special holonomy table
• special orthogonal group
• sphere
• spheres -- contents
• spherical T-duality
• spin bordism
• Spin(5)
• Spin(5)/SU(2) is the 7-sphere
• Spin(6)
• Spin(7)
• Spin(7)/G₂ is the 7-sphere
• Spin(8)-subgroups and reductions -- table
• Spin(9)
• spinʰ bordism
• spinʰ structure
• spinᶜ
• spinᶜ bordism
• spinᶜ Dirac operator
• spinᶜ structure
• Spinᶜ(4)
• Spinᶜ(6)
• Spiro Karigiannis
• split supersymmetry
• split-complex numbers
• stable unitary group
• stable Yang-Mills connection
• stable Yang-Mills-Higgs pair
• standard Courant algebroid
• standard model of particle physics
• Stefan Mazurkiewicz
• Stephen McKean
• Steven Rosenberg
• Stiefel-Whitney class
• Stiefel-Whitney number
• string bordism
• string diagram
• string group
• string phenomenology
• string structure
• string theory
• string theory - contents
• string theory FAQ
• stringᶜ 2-group
• SU(3)
• SU(5)
• SU2-instantons from the correct maths to the traditional physics story
• Sullivan model of a spherical fibration
• Sung-Soo Kim
• Super Gerbes
• super-Cartan geometry
• supersymmetry and Calabi-Yau manifolds
• surface
• Sven Lustig
• swampland
• symplectic group
• symplectic manifold
• symplectic topology
• symplectomorphism group
• table of branes
• Takaaki Nomura
• Tamagawa number
• tangential structure
• Taub-NUT space
• Tekin Dereli
• Terence Tao
• Thom space
• Thom spectrum
• Thom's theorem
• Thomas Friedrich
• Thomas H. Parker
• Tim Perutz
• Timaeus dialogue
• Tomasz Mrowka
• Toni Annala
• topological complexity
• topological G-space
• topological K-theory
• topological M-theory
• topological M5-brane
• topological membrane
• topological Yang-Mills theory
• topologically enriched category
• topologically twisted D=4 super Yang-Mills theory
• torus
• transgression of differential forms
• triality
• trivial ring
• twisted arrow (∞,1)-category
• twisted arrow category
• twisted de Rham cohomology
• twisted functorial field theory
• twisted smooth cohomology in string theory
• twisted spinᶜ structure
• type I string theory
• U(2)
• U(ℋ)
• U-duality
• U-duality -- table
• Uhlenbeck's compactness theorem
• Uhlenbeck's singularity theorem
• unitary group
• universal complex line bundle
• universal complex orientation on MU
• universal vector bundle
• Vafa-Witten equations
• Volker Braun
• Walter Hantzsche
• Weil conjecture on Tamagawa numbers
• Weil-Petersson metric
• Weinstein symplectic category
• Whitehead tower
• Wolfgang Lueck
• Wu manifold
• Xiaoli Han
• Xishen Jin
• Yang monopole
• Yang Wen
• Yang-Mills equation
• Yang-Mills field
• Yang-Mills flow
• Yang-Mills instanton
• Yang-Mills mass gap
• Yang-Mills moduli space
• Yang-Mills theory
• Yang-Mills theory -- table
• Yang-Mills-Higgs equations
• Yang-Mills-Higgs flow
• Yi-hong Gao
• Yong-Geun Oh
• Young diagram
• Yuan-Jen Chiang
• Yutaka Hosotani
• Yutaka Taniyama
• Yuuji Tanaka
• Z'-boson
• zero object
• zero-section into Thom space of universal line bundle is weak equivalence
• Zhenghan Shen
• Zhi Hu
• Zhouli Xu
• Čech cohomology
• Şahin Koçak
• Şenay Karapazar Bulut