Bounded cohomology via partial differential equations, I

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Abstract:

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 anapplication, we prove a vanishing theorem for the continuous bounded cohomology of SL(2,R) in degree four, establishing a special case of a conjecture of Monod.

SEEK ID: https://publications.h-its.org/publications/954

DOI: 10.2140/gt.2015.19.3603

Research Groups: Groups and Geometry

Publication type: Journal

Journal: Geometry and Topology

Citation: Geom. Topol. 19(6):3603-3643

Date Published: 2015

URL: https://projecteuclid.org/euclid.gt/1510858882

Registered Mode: imported from a bibtex file

Authors: Tobias Hartnick, Andreas Ott

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Lukas Sauer

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Hartnick, T., & Ott, A. (2015). Bounded cohomology via partial differential equations, I. In Geometry & Topology (Vol. 19, Issue 6, pp. 3603–3643). Mathematical Sciences Publishers. https://doi.org/10.2140/gt.2015.19.3603

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Created: 30th Jan 2020 at 09:32

Last updated: 5th Mar 2024 at 21:24

Bounded cohomology via partial differential equations, I

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