Relating Invariants Coming From 3-component Torus Links

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Date

2025-04-28

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Abstract

Given a 3-component torus link $T(p,q)\subset S^3$, we can construct a closed 3-manifold $\Sigma(p,q,2)$ called the double-branched cover of $S^3$ with branched set equal to $T(p,q)$. The aim of this thesis is to relate the Neumann-Siebenmann $\bar \mu$ invariant of $\Sigma(p,q,2)$ to the $d$-invariants coming from its Heegaard Floer homology.

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Low-dimensional topology, Knot Theory

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Valerio, Lorenzo (2025). Relating Invariants Coming From 3-component Torus Links. Honors thesis, Duke University. Retrieved from https://hdl.handle.net/10161/32330.


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