Rational homology disks and symplectic topology

Thursday, October 8, 2009 -
4:30pm to 6:30pm
Surface singularities admitting a smoothing with the homology of the 4-disk (a so-called rational homology disk, QHD) play central role in the construction of exotic 4-manifolds through the "rational blow down process." Applying various forms of gauge theory we derive obstructions for a singularity to admit such smoothings. Using symplectic topology we classify all starshaped resolution graphs with QHD smoothings.
Speaker: 
Andras Stipsicz
Renyi Institute, Hungary
Event Location: 
Fine Hall 314