String topology for loop stacks

Kai Behrend, Grégory Ginot, Behrang Noohi, Ping Xu

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We prove that the homology groups of the free loop stack of an oriented stack are equipped with a canonical loop product and coproduct, which makes it into a Frobenius algebra. Moreover, the shifted homology H (L X) = H• + d (L X) admits a BV algebra structure. To cite this article: K. Behrend et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).

Original languageEnglish (US)
Pages (from-to)247-252
Number of pages6
JournalComptes Rendus Mathematique
Volume344
Issue number4
DOIs
StatePublished - Feb 15 2007

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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