3 papers
math.GT2021
The SO(3) Vortex Equations over Orbifold Riemann Surfaces
Mariano Echeverria
We study the general properties of the moduli spaces of SO(3) vortices over orbifold Riemann surfaces and use these to characterize the solutions of the SO(3) monopole equations on…
math.GT2019
A Generalization of the Tristram-Levine Knot Signatures as a Singular Furuta-Ohta Invariant for Tori
Mariano Echeverria
Given a knot inside an integer homology sphere , the Casson-Lin-Herald invariant can be interpreted as a signed count of conjugacy classes of irreducible representations of…
math.GT2018
Naturality of the Contact Invariant in Monopole Floer Homology Under Strong Symplectic Cobordisms
Mariano Echeverria
The contact invariant is an element in the monopole Floer homology groups of an oriented closed three manifold canonically associated to a given contact structure. A non-vanishing…