Nonsmoothable involutions on spin 4-manifolds

Details Nonsmoothable involutions on spin 4-manifolds Nonsmoothable involutions on spin 4-manifolds

2010-10-31

arxiv.org/abs/1011.0116v1

Mathematics

Geometric Topology

8 pages

Scientific paper

Let $X$ be a closed, simply-connected, smooth, spin 4-manifold whose intersection form is isomorphic to $n(-E_8)\bigoplus mH$, where $H$ is the hyperbolic form. In this paper, we prove that for $n$ such that $n\equiv 2 ~{\rm mod} ~4$, there exists a locally linear pseudofree $\mathbb{Z}_2$-action on $X$ which is nonsmoothable with respect to any possible smooth structure on $X$.

Affiliated with

Also associated with

No associations

Rating

Nonsmoothable involutions on spin 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 Nonsmoothable involutions on spin 4-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonsmoothable involutions on spin 4-manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-663214