Rank conditions for finite group actions on 4-manifolds
Canadian journal of mathematics, Tome 74 (2022) no. 2, pp. 550-572
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Let M be a closed, connected, orientable topological $4$-manifold, and G be a finite group acting topologically and locally linearly on M. In this paper, we investigate the spectral sequence for the Borel cohomology $H^*_G(M)$ and establish new bounds on the rank of G for homologically trivial actions with discrete singular set.
Mots-clés :
finite group actions, 4-manifolds, Borel spectral sequence
Hambleton, Ian; Pamuk, Semra. Rank conditions for finite group actions on 4-manifolds. Canadian journal of mathematics, Tome 74 (2022) no. 2, pp. 550-572. doi: 10.4153/S0008414X21000018
@article{10_4153_S0008414X21000018,
author = {Hambleton, Ian and Pamuk, Semra},
title = {Rank conditions for finite group actions on 4-manifolds},
journal = {Canadian journal of mathematics},
pages = {550--572},
year = {2022},
volume = {74},
number = {2},
doi = {10.4153/S0008414X21000018},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X21000018/}
}
TY - JOUR AU - Hambleton, Ian AU - Pamuk, Semra TI - Rank conditions for finite group actions on 4-manifolds JO - Canadian journal of mathematics PY - 2022 SP - 550 EP - 572 VL - 74 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X21000018/ DO - 10.4153/S0008414X21000018 ID - 10_4153_S0008414X21000018 ER -
%0 Journal Article %A Hambleton, Ian %A Pamuk, Semra %T Rank conditions for finite group actions on 4-manifolds %J Canadian journal of mathematics %D 2022 %P 550-572 %V 74 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X21000018/ %R 10.4153/S0008414X21000018 %F 10_4153_S0008414X21000018
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