Members & Guests

Dr. Nathan Perlmutter


Stanford University

Guestuniversity: Universität Augsburg
Guestperiod: July 2017

E-mail: nperlmut(at)stanford.edu
Homepage: https://web.stanford.edu/~nperlmut/

Publications within SPP2026

We develop an algebro-analytic framework for the systematic study of the continuous bounded cohomology of Lie groups in large degree. As an application, we examine the continuous bounded cohomology of PSL(2,R) with trivial real coefficients in all degrees greater than two. We prove a vanishing result for strongly reducible classes, thus providing further evidence for a conjecture of Monod. On the cochain level, our method yields explicit formulas for cohomological primitives of arbitrary bounded cocycles.

 

Related project(s):
27Invariants and boundaries of spaces

We present a new technique that employs partial differential equations in order to explicitly construct primitives in the continuous bounded cohomology of Lie groups. As an application, we prove a vanishing theorem for the continuous bounded cohomology of SL(2,R) in degree 4, establishing a special case of a conjecture of Monod.

 

JournalGeometry & Topology
Volume19
Pages3603–3643
Link to preprint version
Link to published version

Related project(s):
27Invariants and boundaries of spaces

  • 1

This website uses cookies

By using this page, browser cookies are set. Read more