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2π-graftings and complex projective structures


Speaker: Shinpei Baba, Cal Tech
Location: 2112 MSB
Start time: Tue, Sep 25 2012, 3:10PM

A (complex) projective structure is a certain geometric structure on a (real) surface, and it has a holonomy representation from the fundamental group of the base surface into PSL(2,C). A grafting is a surgery operation that transforms a projective structure to another, preserving its holonomy representation. We show that graftings indeed generate all projective structures with a fixed generic holonomy representation.