Sivek, Steven and Zentner, Raphael (2022) SURGERY OBSTRUCTIONS AND CHARACTER VARIETIES. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 375 (5). pp. 3351-3380. ISSN 0002-9947, 1088-6850
Full text not available from this repository. (Request a copy)Abstract
We provide infinitely many rational homology 3-spheres with weight-one fundamental groups which do not arise from Dehn surgery on knots in S-3. In contrast with previously known examples, our proofs do not require any gauge theory or Floer homology. Instead, we make use of the SU(2) character variety of the fundamental group, which for these manifolds is particularly simple: they are all SU(2)-cyclic, meaning that every SU(2) representation has cyclic image. Our analysis relies essentially on Gordon-Luecke's classification of half-integral toroidal surgeries on hyperbolic knots, and other classical 3-manifold topology.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SEIFERT FIBERED MANIFOLDS; DEHN SURGERY; KNOTS; HOMOLOGY |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 08 Feb 2024 11:01 |
| Last Modified: | 08 Feb 2024 11:01 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57436 |
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