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HomePage
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Long exact sequences for de Rham cohomology of diffeological spaces
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Bornoligies, Topological Games and Function Spaces
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String geometry vs. spin geometry on loop spaces
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Infinite-dimensional manifolds as ringed spaces
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Modeling Collaborations with Persistent Homology
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Locally convex topological algebras of generalized functions: compactness and nuclearity in a nonlinear context
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Low Dimensional Topology and Ordering Groups
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A topological view of ordered groups
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Path algebras and de Broglie waves
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Weak Poisson structures on infinite dimensional manifolds and hamiltonian actions
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Strongly internal sets and generalized smooth functions
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Principal bundles of embeddings and nonlinear Grassmannians
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Cartan decomposition for complex loop groups
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The works of Charles Ehresmann on connections: from Cartan connections to connections on fibre bundles
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Chasing diagrams in cryptography
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Category Theory Using String Diagrams
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Representations of derived A-infinity algebras
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The magnitude of a graph
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Orbispaces and their Mapping Spaces via Groupoids: A Categorical Approach
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Nonlinear Generalized Functions: their origin, some developments and recent advances
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A new topological invariant for the "Rubik's Magic" puzzle
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The Tangent Functor Monad and Foliations
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Intrinsic weak derivatives and Sobolev spaces between manifolds
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The Kirby torus trick for surfaces
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An introduction to finite type invariants of knots and 3-manifolds
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Stochastic manifolds
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The space of paths in complex projective space with real boundary conditions
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Perturbative sigma models, elliptic cohomology and the Witten genus
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Completed power operations for Morava E-theory
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Smooth Manifolds vs Differential triads
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Enumerating lattices of subsets
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A loop group extension of the odd Chern character
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The homotopy theory of diffeological spaces, I. Fibrant and cofibrant objects
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A model structure on the category of diffeological spaces
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Partitions of unity and coverings
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Fractions in elementary education
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A bit of tropical geometry
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Using boundaries to find smooth norms
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A continuous deRham antidifferential
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On Leonardo da Vinci's proof of the Theorem of Pythagoras
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Differential cohomology in a cohesive infinity-topos
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The triangulation of manifolds
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Configuration space integrals and the topology of knot and link spaces
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Cosimplicial C-infinity rings and the de Rham complex of Euclidean space
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Around finite-dimensionality in functional analysis
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Weakly Smooth Structures in Gromov-Witten Theory
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Parallel Weighings
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Relations among characteristic classes of manifold bundles
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Projective lines as groupoids with projection structure
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The Orbit Space and Basic Forms of a Proper Lie Groupoid
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Homotopy automorphisms of R-module bundles, and the K-theory of string topology
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Puzzling the 120-cell
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A survey of Heegaard Floer homology
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Some problems in functional analysis inspired by Hahn Banach type theorems
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A comment on the construction of the maximal globally hyperbolic Cauchy development
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Loop-fusion cohomology and transgression
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Juggling braids and links
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The Geometry of Orbifolds via Lie Groupoids
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Homotopy theory of infinite dimensional manifolds
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The Unitary Group In Its Strong Topology
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Equivariant, string and leading order characteristic classes associated to fibrations
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A Geometric Model for Odd Differential K-theory
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The Caloron Correspondence and Odd Differential K-theory
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Power operations and coactions in highly commutative homology theories
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Existence of 'Darboux chart' on loop space
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Homologies are infinitely complex
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Equivalence of string and fusion loop-spin structures
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Corrigendum: "On the Floer homology of cotangent bundles"
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String Topology, Euler Class and TNCZ free loop fibrations
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Rational homotopy -- Sullivan models
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Geometric structure for the tangent bundle of direct limit manifolds
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Balloons and Hoops and their Universal Finite Type Invariant, BF Theory, and an Ultimate Alexander Invariant
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Unitary Representations of Unitary Groups
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Differentiable mappings between spaces of sections
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Localisations of cobordism categories and invertible TFTs in dimension two
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Tubular configurations: equivariant scanning and splitting
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When is the underlying space of an orbifold a topological manifold?
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Continuity of discrete homomorphisms of diffeomorphism groups
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Invariant tubular neighborhoods in infinite-dimensional {R}iemannian geometry, with applications to {Y}ang-{M}ills theory
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A note on a diffeomorphism between two Banach spaces
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Steenrod operations and the diagonal morphism
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Topology of Musical Data
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Categorification and applications in topology and representation theory
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Segal's Spectral Sequence in Twisted Equivariant K-theory for proper and discrete actions
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Multiplicative Structures on the Twisted K-theory over Finite Groups
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Homotopy Groups of Diagonal Complements
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On the deformation of path algebras
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Satellite operators as group actions on knot concordance
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A convenient setting for differential geometry and global analysis
( A convenient setting for differential geometry and global analysis(rev # 2) |
history )
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Chern-Weil theory for certain infinite-dimensional Lie groups
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Generalised Miller-Morita-Mumford classes for block bundles and topological bundles
( Generalised Miller-Morita-Mumford classes for block bundles and topological bundles(rev # 2) |
history )
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Generalised Miller-Morita-Mumford classes for block bundles and topological bundles
( Generalised Miller-Morita-Mumford classes for block bundles and topological bundles(rev # 1) |
history )
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Smooth structures on non-orientable four-manifolds and free involutions
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Torelli spaces of high-dimensional manifolds
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Charged Spaces
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Equivariant calculus of functors and Z/2-analyticity of real K-theory
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Differential calculus in locally convex spaces
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Classification of symmetry groups for planar n-body choreographies
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Tame Fréchet submanifolds