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On the cohomology and their torsion of real toric objects

On the cohomology and their torsion of real toric objects AbstractIn this paper, we do the following two things:(i)We present a formula to compute the rational cohomology ring of a real topological toric manifold, and thus that of a small cover or a real toric manifold, which implies the formula of Suciu and Trevisan. Furthermore, the formula also works for an arbitrary coefficient ring G in which 2 is a unit.(ii)We construct infinitely many real toric manifolds and small covers whose integral cohomology rings have a q-torsion for any positive odd integer q. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

On the cohomology and their torsion of real toric objects

Forum Mathematicum , Volume 29 (3): 11 – May 1, 2017

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References (25)

Publisher
de Gruyter
Copyright
© 2017 by De Gruyter
ISSN
1435-5337
eISSN
1435-5337
DOI
10.1515/forum-2016-0025
Publisher site
See Article on Publisher Site

Abstract

AbstractIn this paper, we do the following two things:(i)We present a formula to compute the rational cohomology ring of a real topological toric manifold, and thus that of a small cover or a real toric manifold, which implies the formula of Suciu and Trevisan. Furthermore, the formula also works for an arbitrary coefficient ring G in which 2 is a unit.(ii)We construct infinitely many real toric manifolds and small covers whose integral cohomology rings have a q-torsion for any positive odd integer q.

Journal

Forum Mathematicumde Gruyter

Published: May 1, 2017

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