Abstract
We prove that there exist 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.
- Title
- Exotic aspherical$4$ -manifolds
- Creators
- Michael Davis - The Ohio State UniversityKyle Hayden - Rutgers, The State University of New JerseyJingyin Huang - The Ohio State UniversityDaniel Ruberman - Brandeis UniversityNathan Sunukjian - Calvin University
- Publication Details
- Annals of mathematics, Vol.204(2), pp.777-794
- Identifiers
- 9924708153701921
- Academic Unit
- Department of Mathematics
- Language
- English
- Resource Type
- Journal article