Publication: Singularities, Supersymmetry and Combinatorial Reciprocity
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2013-10-08
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Martinez II, Roberto. 2013. Singularities, Supersymmetry and Combinatorial Reciprocity. Doctoral dissertation, Harvard University.
Abstract
This work illustrates a method to investigate certain smooth, codimension-two, real submanifolds of spheres of arbitrary odd dimension (with complements that fiber over the circle) using a novel supersymmetric quantum invariant. Algebraic (fibered) links, including Brieskorn-Pham homology spheres with exotic differentiable structure, are examples of said manifolds with a relative diffeomorphism-type that is determined by the corresponding (multivariate) Alexander polynomial.
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Mathematics, Physics
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