A note on exotic families of 4-manifolds
Geometric Topology
2021-10-27 v2
Abstract
We present a pair of smooth fiber bundles over the circle with a common -dimensional fiber with the following properties: (1) their total spaces are diffeomorphic to each other; (2) they are isomorphic to each other as topological fiber bundles; (3) they are not isomorphic to each other as smooth fiber bundles. In particular, we exhibit an example with non-simply-connected fiber.
Keywords
Cite
@article{arxiv.2101.00367,
title = {A note on exotic families of 4-manifolds},
author = {Tsuyoshi Kato and Hokuto Konno and Nobuhiro Nakamura},
journal= {arXiv preprint arXiv:2101.00367},
year = {2021}
}
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11 pages