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Syzygies in equivariant cohomology in positive characteristic

  • Christopher Allday , Matthias Franz EMAIL logo and Volker Puppe
From the journal Forum Mathematicum

Abstract

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


Communicated by Frederick R. Cohen


Funding statement: Matthias Franz was supported by an NSERC Discovery Grant.

Acknowledgements

Matthias Franz thanks Winfried Bruns for helpful discussions and Sergio Chaves for bringing Dwyer’s work [12] to his attention.

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Received: 2020-07-15
Revised: 2020-11-20
Published Online: 2021-02-02
Published in Print: 2021-03-01

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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