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Classification of torus
bundles that bound rational homology circles
Jonathan Simone |
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Algebraic & Geometric Topology 23 (2023) 2449–2518
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Abstract |
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We completely classify orientable torus bundles over the circle that bound smooth –manifolds with the rational homology of the circle. Along the way, we classify certain integral surgeries along chain links that bound rational homology –balls and explore a connection to –braid closures whose double branched covers bound rational homology –balls. |
Keywords
rational homology circles, torus bundles, rational homology
balls, 3–braids
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Mathematical Subject Classification
Primary: 57K30, 57K40, 57K41
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References |
Publication
Received: 10 July 2020
Revised: 1 March 2022
Accepted: 16 May 2022
Published: 7 September 2023
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Authors |
| Jonathan Simone | |
| School of Mathematics Georgia Institute of Technology Atlanta, GA United States |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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