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The integer valued SU(3) Casson invariant for Brieskorn spheres.Geometry/Topology
|Speaker: ||Chris Herald, University of Nevada, Reno|
|Location: ||693 Kerr|
|Start time: ||Wed, Oct 30 2002, 4:10PM|
In this talk I will discuss some techniques developed in joint
work with Paul Kirk and Hans Boden for calculating the SU(3) Casson
invariant of Brieskorn spheres. One can view this class of homology
3-spheres as surgeries on (p,q) torus knots and some similar knots in
nontrivial homology spheres.
The calculation methods involve resolving singularities in the flat moduli
space using a "twisting perturbation" and analyzing its effect on the
topology of the perturbed flat moduli space. Finally, we use Bott-Morse
theory and a spectral flow splitting principle to calculate the invariant.
Dinner following talk.