Work

Equivalence of string and fusion loop-spin structures

Year: 2013

Type: preprint

Abstract: The importance of the fusion relation of loops was recognized in the context of spin structures on the loop space by Stolz and Teichner and further developed by Waldorf. On a spin manifold M the equivalence classes of `fusive' spin structures on the loop space LM, incorporating the fusion property, strong regularity and reparameterization-invariance, are shown to be in 1-1 correspondence with equivalence classes of string structures on M. The identification is through the affine space of `string' cohomology classes considered by Redden.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1309.0210

Authors: Kottke, Chris, Melrose, Richard

Institutions: Northeastern University, Massachusetts Institute of Technology, Northeastern University

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1575161198

Cites: 12

Cited by: 6

Related to: 20