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Danica Kosanovic (MPIM Bonn)
Friday 02 June 2017, 15:00-16:00
Topological Incarnations of the Arf invariant
- 👤 Speaker: Danica Kosanovic (MPIM Bonn)
- 📅 Date & Time: Friday 02 June 2017, 15:00 - 16:00
- 📍 Venue: MR5
Abstract
The Arf invariant is an invariant of nonsingular quadratic forms over F_2. Although seemingly too simple, it appears in several contexts in geometric topology (as a concordance invariant of knots, in the Freedman-Kirby generalisation of Rokhlin theorem, as Kervaire invariant), which also hint its relation to the theory of 4-dimensional manifolds. In this introductory talk I will give an overview of spin and Pin^{\pm}-structures and associated cobordism rings in low dimensions, present a geometric interpretation of the Arf invariant and relate it to the Rokhlin invariant of homology 3-spheres.
Series This talk is part of the Junior Geometry Seminar series.
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