Fourier transforms and integer homology cobordism
Geometric Topology
2024-12-18 v2
Abstract
We explore the Fourier transform of the Heegaard Floer -invariants, which is particularly well-behaved with respect to connected sum. As corollaries, we show that lens spaces are cancellable in the monoid of 3-manifolds up to integer homology cobordism, and we recover a theorem of Gonz\'alez-Acu\~na--Short on Alexander polynomials of knots with reducible surgeries.
Cite
@article{arxiv.2206.07029,
title = {Fourier transforms and integer homology cobordism},
author = {Mike Miller Eismeier},
journal= {arXiv preprint arXiv:2206.07029},
year = {2024}
}
Comments
v2: Small changes. To appear in Algebraic & Geometric Topology