most citedVortices and a TQFT for Lefschetz fibrations on 4-manifolds

14 citations · 14 across the 3 of their papers we have counts for

collaborators

3 papers

math.AT2025

Filtered cospans and interlevel persistence with boundary conditions

Michael Usher

We develop the notion of a "filtered cospan" as an algebraic object that stands in the same relation to interlevel persistence modules as filtered chain complexes stand with respec…

math.SG2006

Minimality and symplectic sums

Michael Usher

Let X_1, X_2 be symplectic 4-manifolds containing symplectic surfaces F_1,F_2 of identical positive genus and opposite squares. Let Z denote the symplectic sum of X_1 and X_2 along…

math.SG2006★ 14 cited

Vortices and a TQFT for Lefschetz fibrations on 4-manifolds

Michael Usher

Adapting a construction of D Salamon involving the U(1) vortex equations, we explore the properties of a Floer theory for 3-manifolds that fiber over S^1 which exhibits several par…