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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.

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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
Date:2013
Institutions:Mathematics > Prof. Dr. Stefan Friedl
Identification Number:
ValueType
10.4171/JEMS/412DOI
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
Item ID:34524
Owner only: item control page

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