nLab Author — Samuel Adrian Antz

Overview

Samuel Adrian Antz has contributed to 427 nLab pages.

Most recent contributions

All pages contributed to

• 10j symbol
• 2-plectic geometry
• 3-manifold
• 4-manifold
• 5-manifold
• 6-sphere
• 7-sphere
• 8-manifold
• ABJM theory
• ADE classification
• ADE singularity
• Alexandrov space
• Alexei Kovalev
• Alfred Gray
• algebraic category
• algebraic cobordism
• algebraic structure
• algebraic surface
• Andreas Brandhuber
• Andreas Braun
• Andrei Micu
• Andrew Wiles
• Antonella Grassi
• Antonin Delpeuch
• Archimedes
• Arens-Fort space
• Arnold-Kuiper-Massey theorem
• associative 3-form
• associative submanifold
• Atiyah-Segal completion theorem
• axion
• basic complex line bundle on the 2-sphere
• basic ideas of moduli stacks of curves and Gromov-Witten theory
• Bi-Yang-Mills equation
• black holes in string theory
• BO(n)
• Bobby Acharya
• bottom-up and top-down model building
• BSO(n)
• BSU(n)
• BU(n)
• calibration
• cancellative category
• Carlos S. Shahbazi
• cartesian closed functor
• cartesian product
• Casson invariant
• Cayley plane
• Chern class
• chiral fermion
• Christopher Pope
• classifying space
• Clifford Taubes
• cobordism hypothesis
• cocomplete category
• cohomotopy
• Cole Comfort
• complex oriented cohomology theory
• complex projective space
• condensed set
• cone (Riemannian geometry)
• configuration space of points
• confinement
• connected sum
• Conner-Floyd Chern class
• contributors to algebraic geometry
• coset space structure on n-spheres -- table
• CP violation
• Cumrun Vafa
• D=0 TQFT
• D=1 Chern-Simons theory
• D=11 Chern-Simons theory
• D=11 N=1 supergravity
• D=11 supergravity Lie 3-algebra
• 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 quantum gravity
• D=3 supergravity
• D=3 TQFT
• 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 supergravity
• D=5 Yang-Mills theory
• D=6 Chern-Simons theory
• D=6 supergravity
• D=7 Chern-Simons theory
• D=7 super Yang-Mills theory
• D=7 supergravity
• D=8 supergravity
• D=9 supergravity
• Daniel C. Cohen
• David Mumford
• de Sitter spacetime
• decalage
• definite form
• Denis-Charles Cisinski
• determinant
• differential function complex
• discrete torsion
• Dominic Joyce
• Don Page
• Donaldson theory
• Donaldson's theorem
• doublet-triplet splitting problem
• Dragon's theorem
• duality between M/F-theory and heterotic string theory
• E. J. Brody
• Edward Witten
• EI-category
• Einstein manifold
• Einstein-Yang-Mills theory
• Eleny-Nicoleta Ionel
• Emily Riehl
• empty 221
• enhanced gauge symmetry
• exceptional generalized geometry
• exceptional geometry
• exceptional Lie group
• exceptional naturalism
• exceptional structures -- contents
• 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
• Ferdinand Veldkamp
• fermionic path integral
• Field
• field
• fine model structure on topological G-spaces
• finitely complete > history
• first-countable space
• flavour anomaly
• flux compactification
• flux quantization in superconductors -- section
• formal group
• fractional D-brane
• Frank Reidegeld
• Freudenthal magic square
• Freund-Rubin compactification
• Frobenius morphism
• Fukaya category
• function field analogy
• F₄
• G-delta subspace
• G2-conifolds -- references
• Gary Gibbons
• gauge-Higgs unification
• generalized Calabi-Yau manifold
• generalized G₂-manifold
• generalized Spin(7)-manifold
• geometric engineering of quantum field theory
• geometry of physics -- BPS charges
• geometry of physics -- flux quantization
• geometry of physics -- fundamental super p-branes
• 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
• Gromov-Witten invariants
• group cohomology
• GUT
• G₂
• G₂ manifold
• G₂-conifold
• G₂-MSSM
• G₂-orbifold
• G₂/SU(3) is the 6-sphere
• Hans Jockers
• Hantzsche-Wendt manifold
• Harold Donnelly
• hemicompact space
• heterotic string theory on CY3-manifolds
• hidden sector
• Hideo Shimizu
• hierarchy problem
• Higgs field
• higher Cartan geometry
• higher curvature corrections to D=11 supergravity -- references
• Hilbert modular variety
• Hilmar Wendt
• Hiro Lee Tanaka
• Hitchin functional
• holomorphic Chern-Simons theory
• homology of MG
• homology sphere
• homotopy equivalence
• homotopy sphere
• induced representation
• infinite-dimensional Chern-Simons theory
• infinite-dimensional sphere
• infinity-Chern-Weil theory introduction
• initial object
• injective envelope
• integrability of G-structures
• intersecting D-brane model
• intersection pairing
• Introduction to Cobordism and Complex Oriented Cohomology
• James Halverson
• Jason Lotay
• John Horton Conway
• John Milnor
• Joseph Lipman
• K3 surface
• Kac-Moody group
• Kaluza-Klein mechanism
• Kellogg Stelle
• Kenji Fukaya
• Kenneth Intriligator
• Killing spinor
• KK-compactifications of M-theory -- table
• Klein bottle
• Kronheimer-Mrowka basic class
• Landweber exact functor theorem
• Lawvere theory
• lens space
• Lie group
• line bundle
• locally presentable category
• Lucile Vandembroucq
• M-theory on G₂-manifolds
• M5-brane
• Malcolm Perry
• Marco Zambon
• Mariana Graña
• Mark Grant
• membrane instanton
• metacompact space
• metric cone over complex projective 3-space
• Michael Atiyah
• Michael Duff
• Michael Farber
• Michael Weiss
• microbundle
• Mikhail Gromov
• Milnor-Quillen theorem on MU
• Mirjam Cvetič
• model (in theoretical physics)
• model structure on simplicial Lie algebras
• moduli stabilization
• monoidal category
• motivation for sheaves, cohomology and higher stacks
• Moustafa A. Awada
• MSpinᶜ
• MSSM
• multi-adjoint
• multilimit
• N=1 susy compactifications -- table
• Naichung Conan Leung
• natural transformation
• naturalness
• near-horizon geometry
• neutrino
• Nigel Higson
• Nonabelian Algebraic Topology
• normed division algebra Riemannian geometry -- table
• octonion
• octonionic Hopf fibration
• octonionic projective space
• orbifold
• orientations in higher quantization - table
• orthocompact space
• orthogonal group
• Oscar Zariski
• P-space
• paracompact topological space
• Paul Olum
• Paul Townsend
• perfect infinity-stack
• piecewise flat spacetime
• pillowcase orbifold
• Pontrjagin ring
• Pontryagin class
• Pontryagin's theorem
• principal ideal domain
• probability theory
• protection from quantum corrections
• Qiaochu Yuan
• quantization of D=3 Chern-Simons theory
• quaternionic projective plane
• quaternionic projective space
• Rajesh Gopakumar
• Ralf Aurich
• Randall-Sundrum model
• rational homology sphere
• rational homotopy sphere
• real closed field
• real oriented cohomology theory
• real projective space
• reduction and lift of structure groups
• Reiko Miyaoka
• Riemannian orbifold
• rigid object
• Robert Bryant
• Sakura Schäfer-Nameki
• Sandbox
• Sasakian manifold
• Science of Logic
• second-countable space
• self-dual Yang-Mills theory
• semi-locally simply-connected topological space
• semi-topological D=4 Chern-Simons theory
• Serge Tabachnikov
• Sergey Yuzvinsky
• Shimizu L-function
• shtuka
• signature defect
• Simon Donaldson
• Simon Salamon
• simplicially enriched category
• Snaith theorem
• SO(12)
• SO(3)
• SO(4)
• SO(8)
• special holonomy table
• special orthogonal group
• sphere
• spheres -- contents
• Spin(7)
• Spin(7)/G₂ is the 7-sphere
• Spin(8)-subgroups and reductions -- table
• spinʰ structure
• spinᶜ
• spinᶜ Dirac operator
• spinᶜ structure
• Spiro Karigiannis
• split supersymmetry
• split-complex numbers
• stable unitary group
• stable Yang-Mills connection
• stable Yang-Mills-Higgs pair
• standard model of particle physics
• Stefan Mazurkiewicz
• Steven Rosenberg
• Stiefel-Whitney class
• string diagram
• string phenomenology
• string structure
• string theory
• string theory - contents
• string theory FAQ
• stringᶜ 2-group
• SU(3)
• SU2-instantons from the correct maths to the traditional physics story
• Sullivan model of a spherical fibration
• 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
• tangential structure
• Taub-NUT space
• Thom space
• Thom spectrum
• Thom's theorem
• Thomas H. Parker
• Timaeus dialogue
• Tomasz Mrowka
• 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
• triality
• trivial ring
• twisted smooth cohomology in string theory
• twisted spinᶜ structure
• U-duality
• U-duality -- table
• unitary group
• universal complex line bundle
• universal complex orientation on MU
• universal vector bundle
• Volker Braun
• Walter Hantzsche
• Weil-Petersson metric
• Weinstein symplectic category
• Whitehead tower
• Wu manifold
• Yang-Mills equation
• Yang-Mills theory
• Yang-Mills-Higgs equations
• Yong-Geun Oh
• Young diagram
• Yutaka Hosotani
• Yutaka Taniyama
• Z'-boson
• zero object
• zero-section into Thom space of universal line bundle is weak equivalence