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Speaker:
Danica Kosanović
Zugehörigkeit:
MPIM
Datum:
Mon, 17/12/2018 - 16:30 - 18:00
Location:
MPIM Lecture Hall
Parent event:
MPIM Topology Seminar The Arf invariant is an invariant of non-singular quadratic forms over Z/2. Although seemingly too simple, it appears in several contexts in geometric topology (as a concordance invariant of knots, in the Freedman-Kirby generalization of Rokhlin theorem, as Kervaire invariant). In the first part of the talk I will introduce Arf invariants and spin structures. I will then show how in low dimensions they relate and make explicit the 4-dimensional nature of the Arf invariant for knots.
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