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Citation/Abstract

Transferring homotopy commutative algebraic structures

by Cheng, Xuezhi, Ph.D., Northwestern University, 2005, 38 pages; AAT 3177700

Abstract (Summary)

We show in Markl's setting for cohomological perturbation theorem that the sum over planar trees formula of Kontsevich and Soibelman transfers C _∞ -structures. Applying this result to a simplicial cocommutative coalgebra K _* over a field of characteristic zero, we find a canonical C _∞ -structure on C ^* ( K _* ), and in particular, we find a canonical C _∞ -structure on the cochain complex of a simplicial set.

Indexing (document details)

Advisor:	Getzler, Ezra
School:	Northwestern University
School Location:	United States -- Illinois
Keyword(s):	Homotopy-commutative, Algebraic structures, de Rham complex, Cinfinity-algebra
Source:	DAI-B 66/06, p. 3160, Dec 2005
Source type:	Dissertation
Subjects:	Mathematics
Publication Number:	AAT 3177700
ISBN:	0542172895
Document URL:	http://proquest.umi.com/pqdweb?did=932381871&sid=1&Fmt=2&cli entId=44044&RQT=309&VName=PQD
ProQuest document ID:	932381871

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