Koszulity of splitting algebras associated with cell complexes

Vladimir Retakh; Shirlei Serconek; Robert Lee Wilson

doi:10.1016/j.jalgebra.2009.11.039

Koszulity of splitting algebras associated with cell complexes

Vladimir Retakh, Shirlei Serconek, Robert Lee Wilson

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We associate to a good cell decomposition of a manifold M a quadratic algebra and show that the Koszulity of the algebra implies a restriction on the Euler characteristic of M. For a two-dimensional manifold M the algebra is Koszul if and only if the Euler characteristic of M is two.

Original language	English (US)
Pages (from-to)	983-999
Number of pages	17
Journal	Journal of Algebra
Volume	323
Issue number	4
DOIs	https://doi.org/10.1016/j.jalgebra.2009.11.039
State	Published - Feb 15 2010

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Cell decompositions
Koszulity
Splitting algebras

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10.1016/j.jalgebra.2009.11.039

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title = "Koszulity of splitting algebras associated with cell complexes",

abstract = "We associate to a good cell decomposition of a manifold M a quadratic algebra and show that the Koszulity of the algebra implies a restriction on the Euler characteristic of M. For a two-dimensional manifold M the algebra is Koszul if and only if the Euler characteristic of M is two.",

keywords = "Cell decompositions, Koszulity, Splitting algebras",

author = "Vladimir Retakh and Shirlei Serconek and Wilson, {Robert Lee}",

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T1 - Koszulity of splitting algebras associated with cell complexes

AU - Retakh, Vladimir

AU - Serconek, Shirlei

AU - Wilson, Robert Lee

PY - 2010/2/15

Y1 - 2010/2/15

N2 - We associate to a good cell decomposition of a manifold M a quadratic algebra and show that the Koszulity of the algebra implies a restriction on the Euler characteristic of M. For a two-dimensional manifold M the algebra is Koszul if and only if the Euler characteristic of M is two.

AB - We associate to a good cell decomposition of a manifold M a quadratic algebra and show that the Koszulity of the algebra implies a restriction on the Euler characteristic of M. For a two-dimensional manifold M the algebra is Koszul if and only if the Euler characteristic of M is two.

KW - Cell decompositions

KW - Koszulity

KW - Splitting algebras

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DO - 10.1016/j.jalgebra.2009.11.039

M3 - Article

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JO - Journal of Algebra

JF - Journal of Algebra

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Koszulity of splitting algebras associated with cell complexes

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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