Associahedra and weak monoidal structures on categories

Fiedorowicz, Zbigniew; Gubkin, Steven; Vogt, Rainer M

doi:10.2140/agt.2012.12.469

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Associahedra and weak monoidal structures on categories

Zbigniew Fiedorowicz, Steven Gubkin and Rainer M Vogt

Algebraic & Geometric Topology 12 (2012) 469–492

DOI: 10.2140/agt.2012.12.469

Abstract

This paper answers the following question: what algebraic structure on a category corresponds to an $A_{n}$ structure (in the sense of Stasheff) on the geometric realization of its nerve?

Keywords

associahedra, monoidal category, operad, Tamari lattice

Mathematical Subject Classification 2000

Primary: 18D10, 55P48

Secondary: 06A07

References

Publication

Received: 3 June 2010

Revised: 7 November 2011

Accepted: 27 November 2011

Published: 20 March 2012

Authors

Zbigniew Fiedorowicz
Department of Mathematics Ohio State University Columbus OH 43210-1174 USA
http://www.math.osu.edu/~fiedorowicz.1/
Steven Gubkin
Department of Mathematics Ohio State University Columbus OH 43210-1174 USA
http://www.math.osu.edu/people/gubkin/view
Rainer M Vogt
Fachbereich Mathematik/Informatik Universität Osnabrück Albrechtstr. 28a D-49069 Osnabrück Germany

Volume 12, issue 1 (2012)