Exotic aspherical 4-manifolds
Abstract
We construct closed, aspherical, smooth 4-manifolds that are homeomorphic but not diffeomorphic. These provide counterexamples to a smooth analog of the Borel conjecture in dimension four. Our technique is to apply the `reflection group trick' of the first author to pairs of exotic 4-manifolds with boundary constructed by the second author and Piccirillo.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2024
- DOI:
- arXiv:
- arXiv:2411.19400
- Bibcode:
- 2024arXiv241119400D
- Keywords:
-
- Mathematics - Geometric Topology;
- Mathematics - Algebraic Topology;
- Mathematics - Group Theory;
- 57R55 (Primary);
- 20F55;
- 57R67 (Secondary)
- E-Print:
- 14 pages, 3 figures. Second version corrects some introductory remarks