Homology handles with trivial Alexander polynomial
Dongsoo Lee

TL;DR
This paper demonstrates that certain 3-dimensional homology handles with trivial Alexander polynomial bound specific 4-manifolds and are topologically null cobordant, extending understanding of their topological properties.
Contribution
It establishes that homology handles with trivial Alexander polynomial bound homology $S^1\times D^3$ and are topologically null $\widetilde{H}$-cobordant, using Freedman and Quinn's results.
Findings
Homology handles with trivial Alexander polynomial bound homology $S^1\times D^3$.
Such handles are topologically null $\widetilde{H}$-cobordant.
Extension of Freedman and Quinn's results to homology handles.
Abstract
Using Freedman and Quinn's result for -homology 3-spheres, we show that a 3-dimensional homology handle with trivial Alexander polynomial bounds a homology . As a consequence, a distinguished homology handle with trivial Alexander polynomial is topologically null -cobordant.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics
