Smooth structures on nonorientable four-manifolds and free involutions-Reference-Cited by-同舟云学术

Smooth structures on nonorientable four-manifolds and free involutions

Published:2017-11 Issue:13 Volume:26 Page:1750085
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Torres Rafael¹

Affiliation:

1. Scuola Internazionale Superiori di Studi Avanzati, Via Bonomea 265, 34136, Trieste, Italy

Abstract

In this paper, we investigate existence of inequivalent smooth structures on closed smooth nonorientable 4-manifolds building upon results of Akbulut, Cappell–Shaneson, Fintushel–Stern, Gompf and Stolz. We add to the number of known constructions and provide new examples of exotic manifolds that are obtained as an application of Gluck twists to the standard smooth structure. Inspection of the smooth structure on the orientation 2-covers yields existence results of orientation-reversing exotic free involutions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216517500857

Reference20 articles.

1. A fake 4-manifold

2. Constructing a fake 4-manifold by Gluck construction to a standard 4-manifold

3. Cappell-Shaneson homotopy spheres are standard

4. 4-Manifolds

5. Gluck twisting 4-manifolds with odd intersection form

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