Rigidity of powers and Kosniowski's conjecture
Algebraic Topology
2018-10-24 v4 Combinatorics
General Topology
Abstract
In this paper we state a problem on rigidity of powers, which has a strong topological background for the rigid Hirzebruch genera and Kosniowski's conjecture of unitary circle actions. However, our statement of this problem is elementary enough and does not require any knowledge of algebraic topology. We shall give a solution of this problem for some particular cases. As a consequence, we obtain that Kosniowski's conjecture holds in the case of dimension less than 11 or equal to 14.
Keywords
Cite
@article{arxiv.1702.06897,
title = {Rigidity of powers and Kosniowski's conjecture},
author = {Zhi Lü and Oleg R. Musin},
journal= {arXiv preprint arXiv:1702.06897},
year = {2018}
}
Comments
10 pages