Geodesic
Fourier transforms and integer homology cobordism
Miller Eismeier, Mike1
1 Department of Mathematics and Statistics, University of Vermont, Burlington, VT, United States
Algebraic and Geometric Topology, Tome 24 (2024) no. 7, pp. 4085-4101

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We explore the Fourier transform of the d–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 González-Acuña and Short on Alexander polynomials of knots with reducible surgeries.

DOI : 10.2140/agt.2024.24.4085
Keywords: lens spaces, homology cobordism, Fourier transform, Reidemeister torsion, $d$–invariant, Heegaard Floer homology

Miller Eismeier, Mike 1

1 Department of Mathematics and Statistics, University of Vermont, Burlington, VT, United States 
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Miller Eismeier, Mike. Fourier transforms and integer homology cobordism. Algebraic and Geometric Topology, Tome 24 (2024) no. 7, pp. 4085-4101. doi: 10.2140/agt.2024.24.4085

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