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Twisted Blanchfield pairings and Casson-Gordon invariants

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Anthony Conway
Durham University
Mon, 2019-02-18 16:30 - 18:00
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

In the late seventies, Casson and Gordon developed several knot invariants that obstruct a knot from being slice, i.e. from bounding a disc in the 4-ball. In this talk, we use twisted Blanchfield pairings to define twisted signature functions for knots, and describe their relation to the Casson-Gordon invariants. If time permits, we will describe how this can be used to obstruct the sliceness of some algebraic knots. This is joint work with Maciej Borodzik and Wojciech Politarczyk.

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