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

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

2010-09-19

arxiv.org/abs/1009.3624v4

Mathematics

Geometric Topology

23 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Pin^-(2)-monopole equations and intersection forms with local coefficients of 4-manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pin^-(2)-monopole equations and intersection forms with local coefficients of 4-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pin^-(2)-monopole equations and intersection forms with local coefficients of 4-manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-408709