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arXiv:2007.06546 [math.GT]AbstractReferencesReviewsResources

On the bordism group for group actions on the torus

Kathryn Mann, Sam Nariman

Published 2020-07-13Version 1

In this short note, we study the bordism problem for group actions on the torus and give examples of groups acting on the torus by diffeomorphisms isotopic to the identity that cannot be extended to an action on a bounding 3-manifold. This solves a question raised in the previous work of the authors.

Categories: math.GT, math.AT, math.GR
Subjects: 57R50, 57R19, 57M60, 19J35, 55R40, 37C85
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