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01.01.1970 (Thursday)

GE Rational homology spheres and SL(2,C) representations

regular seminar Steven Sivek (Imperial College London )

at:
14:00 - 15:00
KCL, Strand
room: S4.29
abstract:

Building on non-vanishing theorems of Kronheimer and Mrowka in instanton Floer homology, Zentner proved that if Y is a homology 3-sphere other than S^3, then its fundamental group admits a homomorphism to SL(2,C) with non-abelian image. In this talk, I’ll explain how to generalize this to any Y whose first homology is 2-torsion or 3-torsion, other than the connect sum of n copies of the three-dimensional real projective space for any n or lens spaces of order 3. This is joint work with Sudipta Ghosh and Raphael Zentner.

Keywords: