Loop-fusion cohomology and transgression
‘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,...
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| Format: | Article |
| Language: | en_US |
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2016
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| Online Access: | http://hdl.handle.net/1721.1/104452 https://orcid.org/0000-0002-1494-8228 |
| _version_ | 1811080795597570048 |
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| author | Kottke, Chris Melrose, Richard B |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Kottke, Chris Melrose, Richard B |
| author_sort | Kottke, Chris |
| collection | MIT |
| description | ‘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. |
| first_indexed | 2024-09-23T11:36:59Z |
| format | Article |
| id | mit-1721.1/104452 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:36:59Z |
| publishDate | 2016 |
| record_format | dspace |
| spelling | mit-1721.1/1044522022-09-27T20:46:10Z Loop-fusion cohomology and transgression Kottke, Chris Melrose, Richard B Massachusetts Institute of Technology. Department of Mathematics Melrose, Richard B ‘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. National Science Foundation (U.S.) (grant DMS-1005944) 2016-09-29T22:25:38Z 2016-09-29T22:25:38Z 2015 Article http://purl.org/eprint/type/JournalArticle 10732780 1945001X http://hdl.handle.net/1721.1/104452 Kottke, Chris, and Richard B. Melrose. “Loop-Fusion Cohomology and Transgression.” Mathematical Research Letters 22.4 (2015): 1177–1192. https://orcid.org/0000-0002-1494-8228 en_US http://dx.doi.org/10.4310/MRL.2015.v22.n4.a11 Mathematical Research Letters Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf arXiv |
| spellingShingle | Kottke, Chris Melrose, Richard B Loop-fusion cohomology and transgression |
| title | Loop-fusion cohomology and transgression |
| title_full | Loop-fusion cohomology and transgression |
| title_fullStr | Loop-fusion cohomology and transgression |
| title_full_unstemmed | Loop-fusion cohomology and transgression |
| title_short | Loop-fusion cohomology and transgression |
| title_sort | loop fusion cohomology and transgression |
| url | http://hdl.handle.net/1721.1/104452 https://orcid.org/0000-0002-1494-8228 |
| work_keys_str_mv | AT kottkechris loopfusioncohomologyandtransgression AT melroserichardb loopfusioncohomologyandtransgression |