Rank conditions for finite group actions on 4-manifolds

Date

2021-01-01

Author

Pamuk, Semra

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LetMbe a closed, connected, orientable topological4" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-variant: inherit; font-stretch: inherit; line-height: normal; font-family: inherit; vertical-align: baseline; display: inline-table; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">44-manifold, andGbe a finite group acting topologically and locally linearly onM. In this paper, we investigate the spectral sequence for the Borel cohomologyHG&#x2217;(M)" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-variant: inherit; font-stretch: inherit; line-height: normal; font-family: inherit; vertical-align: baseline; display: inline-table; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">H∗G(M)HG∗(M)and establish new bounds on the rank ofGfor homologically trivial actions with discrete singular set.

URI

https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/rank-conditions-for-finite-group-actions-on-4manifolds/D1C4A495F283217743832EBA2E7A87BB
https://hdl.handle.net/11511/94451

Journal

Canadian Journal Of Mathematics-Journal Canadien De Mathematiques

DOI

https://doi.org/10.4153/s0008414x21000018

Collections

Department of Mathematics, Article

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Citation Formats

S. Pamuk, “Rank conditions for finite group actions on 4-manifolds,” Canadian Journal Of Mathematics-Journal Canadien De Mathematiques, vol. 1, no. 1, pp. 1–23, 2021, Accessed: 00, 2021. [Online]. Available: https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/rank-conditions-for-finite-group-actions-on-4manifolds/D1C4A495F283217743832EBA2E7A87BB.