Transferring homotopy commutative algebraic structures

Xue Zhi Cheng, Ezra Getzler*

*Corresponding author for this work

Research output: Contribution to journalArticle

19 Scopus citations

Abstract

We show that the sum over planar tree formula of Kontsevich and Soibelman transfers C-structures along a contraction. Applying this result to a cosimplicial commutative algebra A over a field of characteristic zero, we exhibit a canonical C-structure on Tot (A), which is unital if A is; in particular, we obtain a canonical C-structure on the cochain complex of a simplicial set.

Original languageEnglish (US)
Pages (from-to)2535-2542
Number of pages8
JournalJournal of Pure and Applied Algebra
Volume212
Issue number11
DOIs
StatePublished - Nov 1 2008

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint Dive into the research topics of 'Transferring homotopy commutative algebraic structures'. Together they form a unique fingerprint.

  • Cite this