Rigidity of powers and Kosniowski's conjecture

Oleg R. Musin; Zhi L\"u

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Rigidity of powers and Kosniowski's conjecture

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arxiv 1702.06897 v4 pith:4YDZTSNR submitted 2017-02-21 math.AT math.COmath.GN

Rigidity of powers and Kosniowski's conjecture

Zhi L\"u , Oleg R. Musin This is my paper

classification math.AT math.COmath.GN

keywords conjecturekosniowskiproblempowersrigidityactionsalgebraicbackground

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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.

Rigidity of powers and Kosniowski's conjecture

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