Twisted Alexander polynomials, symplectic 4-manifolds and surfaces of minimal complexity

Stefan Friedl; Stefano Vidussi

Banach Center Publications (2009)

  • Volume: 85, Issue: 1, page 43-57
  • ISSN: 0137-6934

Abstract

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Let M be a 4-manifold which admits a free circle action. We use twisted Alexander polynomials to study the existence of symplectic structures and the minimal complexity of surfaces in M. The results on the existence of symplectic structures summarize previous results of the authors in [FV08a,FV08,FV07]. The results on surfaces of minimal complexity are new.

How to cite

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Stefan Friedl, and Stefano Vidussi. "Twisted Alexander polynomials, symplectic 4-manifolds and surfaces of minimal complexity." Banach Center Publications 85.1 (2009): 43-57. <http://eudml.org/doc/281962>.

@article{StefanFriedl2009,
abstract = {Let M be a 4-manifold which admits a free circle action. We use twisted Alexander polynomials to study the existence of symplectic structures and the minimal complexity of surfaces in M. The results on the existence of symplectic structures summarize previous results of the authors in [FV08a,FV08,FV07]. The results on surfaces of minimal complexity are new.},
author = {Stefan Friedl, Stefano Vidussi},
journal = {Banach Center Publications},
keywords = {twisted Alexander polynomial; symplectic manifold; circle action; Thurston norm},
language = {eng},
number = {1},
pages = {43-57},
title = {Twisted Alexander polynomials, symplectic 4-manifolds and surfaces of minimal complexity},
url = {http://eudml.org/doc/281962},
volume = {85},
year = {2009},
}

TY - JOUR
AU - Stefan Friedl
AU - Stefano Vidussi
TI - Twisted Alexander polynomials, symplectic 4-manifolds and surfaces of minimal complexity
JO - Banach Center Publications
PY - 2009
VL - 85
IS - 1
SP - 43
EP - 57
AB - Let M be a 4-manifold which admits a free circle action. We use twisted Alexander polynomials to study the existence of symplectic structures and the minimal complexity of surfaces in M. The results on the existence of symplectic structures summarize previous results of the authors in [FV08a,FV08,FV07]. The results on surfaces of minimal complexity are new.
LA - eng
KW - twisted Alexander polynomial; symplectic manifold; circle action; Thurston norm
UR - http://eudml.org/doc/281962
ER -

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