Pin^-(2)-monopole equations and intersection forms with local coefficients of 4-manifolds
Geometric Topology
2013-11-08 v4
Abstract
We introduce a variant of the Seiberg-Witten equations, Pin^-(2)-monopole equations, and give its applications to intersection forms with local coefficients of 4-manifolds. The first application is an analogue of Froyshov's results on 4-manifolds which have definite forms with local coefficients. The second is a local coefficient version of Furuta's 10/8-inequality. As a corollary, we construct nonsmoothable spin 4-manifolds satisfying Rohlin's theorem and the 10/8-inequality.
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Cite
@article{arxiv.1009.3624,
title = {Pin^-(2)-monopole equations and intersection forms with local coefficients of 4-manifolds},
author = {Nobuhiro Nakamura},
journal= {arXiv preprint arXiv:1009.3624},
year = {2013}
}
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23 pages