CYCLIC BRANCHED COVERINGS OF BRIESKORN SPHERES BOUNDING ACYCLIC 4-MANIFOLDS
Glasgow mathematical journal, Tome 63 (2021) no. 2, pp. 400-413
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We show that standard cyclic actions on Brieskorn homology 3-spheres with non-empty fixed set do not extend smoothly to any contractible smooth 4-manifold it may bound. The quotient of any such extension would be an acyclic 4-manifold with boundary a related Brieskorn homology sphere. We briefly discuss well-known invariants of homology spheres that obstruct acyclic bounding 4-manifolds and then use a method based on equivariant Yang–Mills moduli spaces to rule out extensions of the actions.
ANVARI, NIMA; HAMBLETON, IAN. CYCLIC BRANCHED COVERINGS OF BRIESKORN SPHERES BOUNDING ACYCLIC 4-MANIFOLDS. Glasgow mathematical journal, Tome 63 (2021) no. 2, pp. 400-413. doi: 10.1017/S0017089520000269
@article{10_1017_S0017089520000269,
author = {ANVARI, NIMA and HAMBLETON, IAN},
title = {CYCLIC {BRANCHED} {COVERINGS} {OF} {BRIESKORN} {SPHERES} {BOUNDING} {ACYCLIC} {4-MANIFOLDS}},
journal = {Glasgow mathematical journal},
pages = {400--413},
year = {2021},
volume = {63},
number = {2},
doi = {10.1017/S0017089520000269},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000269/}
}
TY - JOUR AU - ANVARI, NIMA AU - HAMBLETON, IAN TI - CYCLIC BRANCHED COVERINGS OF BRIESKORN SPHERES BOUNDING ACYCLIC 4-MANIFOLDS JO - Glasgow mathematical journal PY - 2021 SP - 400 EP - 413 VL - 63 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000269/ DO - 10.1017/S0017089520000269 ID - 10_1017_S0017089520000269 ER -
%0 Journal Article %A ANVARI, NIMA %A HAMBLETON, IAN %T CYCLIC BRANCHED COVERINGS OF BRIESKORN SPHERES BOUNDING ACYCLIC 4-MANIFOLDS %J Glasgow mathematical journal %D 2021 %P 400-413 %V 63 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089520000269/ %R 10.1017/S0017089520000269 %F 10_1017_S0017089520000269
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