lSpace Category — differential topology

Overview

The lSpace wiki has 84 pages in this category.

Pages

• "Parallel" transport - revisited
• A bundle gerbe construction of a spinor bundle from the smooth free loop of a vector bundle
• A comment on the construction of the maximal globally hyperbolic Cauchy development
• A continuous deRham antidifferential
• A new look at connections
• A note on jet and geometric approach to higher order connections
• A remark on distributions and the de Rham theorem
• A survey of Heegaard Floer homology
• A Tower Connecting Gauge Groups to String Topology
• A zoo of diffeomorphism groups on $\mathbb R^n$
• Aspherical manifolds that cannot be triangulated
• Axiomatic Differential Geometry II-3
• Axiomatic Differential Geometry III-1
• Axiomatic Differential Geometry III-2
• Axiomatic Differential Geometry III-3
• Champs continus d'espaces hilbertiens et de {$C^{\ast} $}-alg\`ebres
• Chern-Weil forms and abstract homotopy theory
• Continuity of discrete homomorphisms of diffeomorphism groups
• Controllability on infinite-dimensional manifolds
• Cosimplicial C-infinity rings and the de Rham complex of Euclidean space
• Curved String Topology and Tangential Fukaya Categories II
• D-manifolds, d-orbifolds and derived differential geometry: a detailed summary
• Detecting and realising characteristic classes of manifold bundles
• Diffeomorphism groups of balls and spheres
• Differentiable mappings between spaces of sections
• Differentiable vectors and unitary representations of Frechet-Lie supergroups
• Differential cohomology
• Equivariant principal bundles and their classifying spaces
• Extension of {$C\sp{\infty }$} functions defined in a half space
• Four Equivalent Versions of Non-Abelian Gerbes
• Frobenius Pairs and Atiyah Duality
• Gauge theory and string topology
• Generalised Miller-Morita-Mumford classes for block bundles and topological bundles
• Geometric structure for the tangent bundle of direct limit manifolds
• Geometry of Bounded Frechet Manifolds
• Group actions on stacks and applications to equivariant string topology for stacks
• Homological stability for unordered configuration spaces
• Homomorphisms between diffeomorphism groups
• Horizontal Path Lifting for General Connections
• Invariant tubular neighborhoods in infinite-dimensional {R}iemannian geometry, with applications to {Y}ang-{M}ills theory
• La Grassmannienne non-linéaire comme variété fréchétique homogène
• Lifting Problems and Transgression for Non-Abelian Gerbes
• Local invariant for scale structures on mapping spaces
• Local Theory for 2-Functors on Path 2-Groupoids
• Localisations of cobordism categories and invertible TFTs in dimension two
• Morse Homotopy and Homological Conformal Field Theory
• Non-abelian higher gauge theory and categorical bundle
• On 2-Holonomy
• On the string topology category of compact Lie groups
• On the topological contents of eta invariants
• Operator calculus - the exterior differential complex
• Parallel Transport on Higher Loop Spaces
• Polyfolds: A First and Second Look
• Positive definite superfunctions and unitary representations of Lie supergroups
• Positive energy representations and continuity of projective representations for general topological groups
• Principal bundles of embeddings and nonlinear Grassmannians
• Relations among characteristic classes of manifold bundles
• Smooth Manifolds vs Differential triads
• Sobolev Metrics on Diffeomorphism Groups and the Derived Geometry of Spaces of Submanifolds
• Spin structures on loop spaces that characterize string manifolds
• Stochastic manifolds
• String Topology, Euler Class and TNCZ free loop fibrations
• Supersymmetric field theories and generalized cohomology
• TCFT Elliptic Objects
• The Caloron Correspondence and Odd Differential K-theory
• The cobordism hypothesis
• The D-topology for diffeological spaces
• The diffeomorphism group of a non-compact orbifold
• The Index Bundle for a Family of Dirac-Ramond Operators
• The Kirby torus trick for surfaces
• The Orbit Space and Basic Forms of a Proper Lie Groupoid
• The Tangent Functor Monad and Foliations
• Three approaches to Morse-Bott homology
• Three dimensions of knot coloring
• Topological Aspects of Differential Chains
• Transgression to Loop Spaces and its Inverse, III: Gerbes and Thin Fusion Bundles
• Tubular configurations: equivariant scanning and splitting
• Twisted $K$-theory
• Twisted K-theory constructions in the case of a decomposable Dixmier-Douady class
• Using boundaries to find smooth norms
• Weakly Smooth Structures in Gromov-Witten Theory
• When is the underlying space of an orbifold a topological manifold?
• Yet More Smooth Mapping Spaces and Their Smoothly Local Properties
• {$G$}-{H}ilbert bundles