Homology handles with trivial Alexander polynomial

2020/10/20 by Dongsoo Lee, Lee, Dongsoo
Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2010.09962

openalex publication_date 2020/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using Freedman and Quinn's result for ℤ-homology 3-spheres, we show that a 3-dimensional homology handle with trivial Alexander polynomial bounds a homology S¹× D³. As a consequence, a distinguished homology handle with trivial Alexander polynomial is topologically null \widetildeH-cobordant.

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