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A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds
Friedl, Stefan and Vidussi, S. (2013) A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds. Journal of the European Mathematical Society 15, pp. 2027-2041.Date of publication of this fulltext: 05 Sep 2016 10:56
Article
DOI to cite this document: 10.5283/epub.34524
Abstract
In this paper we show that given any 3-manifold N and any non-fibered class in H1(N;Z) there exists a representation such that the corresponding twisted Alexander polynomial is zero. We obtain this result by extending earlier work of ours and by combining this with recent results of Agol and Wise on separability of 3-manifold groups. This result allows us to completely classify symplectic 4-manifolds with a free circle action, and to determine their symplectic cones.
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| Item type | Article | ||||
| Journal or Publication Title | Journal of the European Mathematical Society | ||||
| Publisher: | European Mathematical Society (EMS); Springer | ||||
|---|---|---|---|---|---|
| Volume: | 15 | ||||
| Page Range: | pp. 2027-2041 | ||||
| Date | 2013 | ||||
| Institutions | Mathematics > Prof. Dr. Stefan Friedl | ||||
| Identification Number |
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| Keywords | twisted Alexander polynomials, fibered 3-manifolds, symplectic 4-manifolds | ||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||
| Status | Published | ||||
| Refereed | Yes, this version has been refereed | ||||
| Created at the University of Regensburg | Yes | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-345245 | ||||
| Item ID | 34524 |
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