University of Toronto's Symplectic Geometry Seminar

November 13, 2006, 3:10pm
SS 2128

Brett Parker


Exploded Torus Fibrations

Abstract: Invariants defined by holomorphic curves are a powerfull tool in symplectic topology. One technique is to consider a degenerating family of complex structures and recover these invariants from limiting information. The category of exploded torus fibrations is an extention of the smooth category in which some of these degenerations are well behaved. I will describe the relationship of this with symplectic field theory and tropical geometry