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SUMMARY:Topological Incarnations of the Arf invariant - Danica Kosanovic (
 MPIM Bonn)
DTSTART:20170602T140000Z
DTEND:20170602T150000Z
UID:TALK71059@talks.cam.ac.uk
CONTACT:36916
DESCRIPTION:The Arf invariant is an invariant of nonsingular quadratic for
 ms over F_2. Although seemingly too simple\, it appears in several context
 s in geometric topology (as a concordance invariant of knots\, in the Free
 dman-Kirby generalisation of Rokhlin theorem\, as Kervaire invariant)\, wh
 ich also hint its relation to the theory of 4-dimensional manifolds. In th
 is introductory talk I will give an overview of spin and Pin^{\\pm}-struct
 ures and associated cobordism rings in low dimensions\, present a geometri
 c interpretation of the Arf invariant and relate it to the Rokhlin invaria
 nt of homology 3-spheres.
LOCATION:MR5
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