Syzygies in equivariant cohomology in positive characteristic-Reference-Cited by-同舟云学术

Syzygies in equivariant cohomology in positive characteristic

Published:2021-02-02 Issue:2 Volume:33 Page:547-567
ISSN:1435-5337
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Allday Christopher¹,Franz Matthias²,Puppe Volker³

Affiliation:

1. Department of Mathematics , University of Hawaii , 2565 McCarthy Mall , Honolulu , HI 96822 , USA

2. Department of Mathematics , University of Western Ontario , London , Ont. N6A 5B7 , Canada

3. Fachbereich Mathematik , Universität Konstanz , 78457 Konstanz , Germany

Abstract

Abstract We develop a theory of syzygies in equivariant cohomology for tori as well as p-tori and coefficients in 𝔽 p

{\mathbb{F}_{p}}

. A noteworthy feature is a new algebraic approach to the partial exactness of the Atiyah–Bredon sequence, which also covers all instances considered so far.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2020-0188/pdf

Reference26 articles.

1. C. Allday, Torus actions on a cohomology product of three odd spheres, Trans. Amer. Math. Soc. 203 (1975), 343–358.

2. C. Allday, M. Franz and V. Puppe, Equivariant cohomology, syzygies and orbit structure, Trans. Amer. Math. Soc. 366 (2014), no. 12, 6567–6589.

3. C. Allday, M. Franz and V. Puppe, Equivariant Poincaré–Alexander–Lefschetz duality and the Cohen–Macaulay property, Algebr. Geom. Topol. 14 (2014), no. 3, 1339–1375.

4. C. Allday and V. Puppe, Cohomological Methods in Transformation Groups, Cambridge Stud. Adv. Math. 32, Cambridge University Press, Cambridge, 1993.

5. G. E. Bredon, Introduction to Compact Transformation Groups, Pure Appl. Math. 46, Academic Press, New York, 1972.

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