Singular maps on exotic 4–manifold pairs

Kalmár, Boldizsár; Stipsicz, András I

doi:10.2140/agt.2013.13.1709

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Singular maps on exotic $4$–manifold pairs

Boldizsár Kalmár and András I Stipsicz

Algebraic & Geometric Topology 13 (2013) 1709–1731

DOI: 10.2140/agt.2013.13.1709

Abstract

We show examples of pairs of smooth, compact, homeomorphic $4$ –manifolds, whose diffeomorphism types are distinguished by the topology of the singular sets of smooth stable maps defined on them. In this distinction we rely on results from Seiberg–Witten theory.

Keywords

$4$–manifold, smooth structure, stable map, genus function, Seiberg–Witten invariant

Mathematical Subject Classification 2010

Primary: 57R55

Secondary: 57R45, 57M50, 57R15

References

Publication

Received: 18 May 2012

Revised: 16 January 2013

Accepted: 26 January 2013

Published: 17 May 2013

Authors

Boldizsár Kalmár
Alfréd Rényi Institute of Mathematics Hungarian Academy of Sciences Realtanoda U. 13–15 1053 Budapest Hungary

András I Stipsicz
Alfréd Rényi Institute of Mathematics Hungarian Academy of Sciences Realtanoda U. 13–15 1053 Budapest Hungary
http://www.renyi.hu/~stipsicz

Volume 13, issue 3 (2013)