76 citations · 308 across the 22 of their papers we have counts for
Showing 2006 · math.SGShow all
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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…
math.SG2006
Symplectic forms and surfaces of negative square
Tian-Jun Li, Michael Usher
We introduce an analogue of the inflation technique of Lalonde-McDuff, allowing us to obtain new symplectic forms from symplectic surfaces of negative self-intersection in symplect…