lSpace Category — loop spaces

Overview

The lSpace wiki has 37 pages in this category.

Pages

• A bundle gerbe construction of a spinor bundle from the smooth free loop of a vector bundle
• A Construction of String 2-Group Models using a Transgression-Regression Technique
• A geometric construction of the Witten genus, II
• A Geometric Model for Odd Differential K-theory
• A gerbe obstruction to quantization of fermions on odd dimensional manifolds with boundary
• A Loop Space Formulation for Geometric Lifting Problems
• A Smooth Model for the String Group
• Backward lambda-lemma and Morse filtrations
• Circle actions, central extensions and string structures
• Classification of symmetry groups for planar n-body choreographies
• Corrigendum: "On the Floer homology of cotangent bundles"
• Deloops of the spaces of long embeddings
• Equivalence of string and fusion loop-spin structures
• Equivariant, string and leading order characteristic classes associated to fibrations
• Existence of 'Darboux chart' on loop space
• Free loop space and homology
• Gauge and Integrable Theories in Loop Spaces
• Gauge theory and string topology
• Groupoid Quantization of Loop Spaces
• Induced differential forms on manifolds of functions
• Iterated integrals over higher dimensional loops
• K-Theories for Certain Infinite Rank Bundles
• Loop Differential K-theory
• Loop Groups, Higgs Fields and Generalised String Classes
• Loop-fusion cohomology and transgression
• On the cohomology of the free loop space of a complex projective space
• Parallel Transport on Higher Loop Spaces
• Path algebras and de Broglie waves
• Perturbative sigma models, elliptic cohomology and the Witten genus
• Spin structures on loop spaces that characterize string manifolds
• String geometry vs. spin geometry on loop spaces
• String structures and the path fibration of a group
• The caloron correspondence and higher string classes for loop groups
• The Caloron Correspondence and Odd Differential K-theory
• The Cleavage Operad and String Topology of Higher Dimension
• The homotopy theory of function spaces: A survey
• Vector fields on mapping spaces and a converse to the AKSZ construction