The homology of simpicial complements and the cohomology of moment-angle complexes

Abstract

We use the Taylor resolution of a monomial ideal to compute the Tor algebra of the Stanley-Reisner ring of a simplicial complement of a simplicial complex.

12 pages, 2figures

References in corpus (1)

• The polyhedral product functor: a method of computation for moment-angle complexes, arrangements and related spaces

Cited by in corpus (3)

• Buchstaber numbers and classical invariants of simplicial complexes
• The homology coalgebra and cohomology algebra of generalized moment-angle complexes
• The Cohomology Algebra of Polyhedral Product Objects