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Signatures of Lefschetz fibrations

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Cagri Karakurt
Bogazici University
Mon, 2019-01-14 16:30 - 18:00
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

In his Ph. D. thesis, Burak Ozbagci described an algorithm computing signatures of Lefschetz fibrations where the input is a factorization of the monodromy into a product of Dehn twists. I will talk about a reformulation  of Ozbagci's algorithm which becomes much easier to implement. Our  main tool  will be Wall's non-additivity formula applied to what I call partial fiber sum decomposition of a Lefschetz fibrations over disk. This is a joint work with A. Cengel.  



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