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Homotopy of planar Lie group equivariant presheaves

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journal contribution
posted on 15.10.2018, 14:08 by Scott Balchin
We utilise the theory of crossed simplicial groups to introduce a collection of local Quillen model structures on the category of simplicial presheaves with a compact planar Lie group action on a small Grothendieck site. As an application, we give a characterisation of equivariant cohomology theories on a site as derived mapping spaces in these model categories.

History

Citation

Journal of Homotopy and Related Structures, 2018, 13(3), pp. 555-580

Version

VoR (Version of Record)

Published in

Journal of Homotopy and Related Structures

Publisher

Springer Nature

issn

2193-8407

eissn

1512-2891

Acceptance date

19/10/2017

Copyright date

2017

Available date

15/10/2018

Publisher version

https://link.springer.com/article/10.1007/s40062-017-0193-z

Language

en