Use this link to cite:
http://hdl.handle.net/2183/35641 On Strongly Inflexible Manifolds
Loading...
Identifiers
Publication date
Authors
Advisors
Other responsabilities
Journal Title
Bibliographic citation
C. Costoya, V. Muñoz, and A. Viruel, "On Strongly Inflexible Manifolds", International Mathematics Research Notices, Vol. 2023, Issue 9, pp. 7355–7390, May 2023. https://doi.org/10.1093/imrn/rnac064
Type of academic work
Academic degree
Abstract
[Abstract]: An oriented closed connected -manifold is inflexible if it does not admit self-maps of unbounded degree. In addition, if all the maps from any other oriented closed connected -manifold have bounded degree, then is said to be strongly inflexible. The existence of simply-connected inflexible manifolds was established by Arkowitz and Lupton. However, the existence of simply-connected strongly inflexible manifolds is still an open question. We provide an algorithm relying on Sullivan models that allows us to prove that all, but one, of the known examples of simply-connected inflexible manifolds are not strongly inflexible.
Description
This is a pre-copyedited, author-produced version of an article accepted for
publication in International Mathematics Research Notices following peer review.
The version of record [C. Costoya, V. Muñoz, and A. Viruel, "On Strongly Inflexible
Manifolds", International Mathematics Research Notices, Vol. 2023, Issue 9, pp.
7355–7390, May 2023. https://doi.org/10.1093/imrn/rnac064] is available
online at: https://doi.org/10.1093/imrn/rnac064.
Editor version
Rights
Copyright © 2022, © The Author(s) 2022.