A proof of Kosniowski conjecture

Zhi L\"u

A proof of Kosniowski conjecture

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arxiv 2108.08699 v3 pith:N7YIEV24 submitted 2021-08-19 math.GT math.AT

A proof of Kosniowski conjecture

Zhi L\"u This is my paper

classification math.GT math.AT

keywords conjecturekosniowskiaffirmativeanswerboundarycharacteristiceulerfixed

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Let $M$ be a unitary $S^1$-manifold with only isolated fixed points such that $M$ is not a boundary. We show that $4\chi(M)>\dim M$, where $\chi(M)$ is the Euler characteristic of $M$. This gives an affirmative answer of Kosniowski conjecture.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Reduced characteristic number criteria for equivariant bordism of $T^k$- and $(\mathbb{Z}_2)^k$-manifolds with isolated fixed points
math.AT 2026-07 unverdicted novelty 6.0

Simplified equivariant bordism criteria using single polynomials of Chern classes or top Stiefel-Whitney class powers are established for manifolds with isolated fixed points, plus partial results on Kosniowski's conjecture.