Pin^-(2)-monopole equations and intersection forms with local coefficients of 4-manifolds

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.

23 pages

References in corpus (2)

• Equivariant maps between sphere bundles over tori and KO-degree
• 4-manifolds and intersection forms with local coefficients

Cited by in corpus (2)

• 4-manifolds and intersection forms with local coefficients
• ${\mathrm{Pin}}^{-}(2)$-monopole invariants