Seminar

Postdoc day, Seminar 2: Topologically trivial families of smooth h-cobordisms

Higher algebraic structures in algebra, topology and geometry

21 January 14:10 - 14:40

Yajit Jain - Brown University

After reviewing Hatcher's construction of exotic disk bundles, we will introduce the immersed Hatcher construction of Goette and Igusa, a construction of topologically trivial families of smooth h-cobordisms. Using work of Dwyer, Weiss, and Williams we associate to such families an invariant called the smooth structure class, which is closely related to the higher Franz–Reidemeister torsion of Igusa and Klein. We will highlight progress towards computing this invariant using Morse theory, and a resulting duality theorem for the smooth structure class.

 

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Organizers
Gregory Arone
Stockholm University
Tilman Bauer
KTH Royal Institute of Technology
Alexander Berglund
Stockholm University
Søren Galatius
University of Copenhagen
Jesper Grodal,
University of Copenhagen
Thomas Kragh
Uppsala University

Program
Contact

Alexander Berglund

alexb@math.su.se

Søren Galatius

galatius@math.ku.dk

Thomas Kragh

thomas.kragh@math.uu.se

Other
information

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