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Line bundle twists for
unitary bordism are ghosts
Thorsten Hertl |
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Algebraic & Geometric Topology 25 (2025) 2053–2066
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Abstract |
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We prove that the canonical twist does not extend to a twist for unitary bordism by showing that every continuous map loops to a nullhomotopic map. |
Keywords
bordism theory, twisted homology theory, classifying spaces
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Mathematical Subject Classification
Primary: 55N22, 55P42, 55R37
Secondary: 14L05, 19L50
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References |
Publication
Received: 14 November 2022
Revised: 2 October 2023
Accepted: 7 April 2024
Published: 11 August 2025
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Authors |
| Thorsten Hertl | |
| School of Mathematics and
Statistics The University of Melbourne Parkville Australia |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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