Loop-fusion cohomology and transgression
Name
Melrose_Loop-fusion.pdf
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145.46 KB
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Adobe PDF
Checksum (MD5)
53a23686ca2d2a1e67952acbf25cd0b6
Author(s)
Kottke, Chris
Melrose, Richard B
Date Issued
2015
Journal
Mathematical Research Letters
Citation
Kottke, Chris, and Richard B. Melrose. “Loop-Fusion Cohomology and Transgression.” Mathematical Research Letters 22.4 (2015): 1177–1192.
Version
Author's final manuscript
Abstract
‘Loop-fusion cohomology’ is defined on the continuous loop space of a manifold in terms of Čech cochains satisfying two multiplicative conditions with respect to the fusion and figure-of-eight products on loops. The main result is that these cohomology groups, with coefficients in an abelian group, are isomorphic to those of the manifold and the transgression homomorphism factors through the isomorphism.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.4310/MRL.2015.v22.n4.a11
