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5 Publications visible to you, out of a total of 5
Transgression in bounded cohomology and a conjecture of Monod

Abstract (Expand)

We develop an algebro-analytic framework for the systematic study of the con-tinuous bounded cohomology of Lie groups in large degree. As an application, we examine the continuous bounded cohomology … of \mathrmPSL(2,\mathbb 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.

Author: Andreas Ott

Date Published: 15th Nov 2019

Publication Type: Journal

Perturbations of the Spence-Abel equation and deformations of the dilogarithm function

Abstract (Expand)

We analyze existence, uniqueness and regularity of solutions for perturbations of the Spence-Abel equation for the Rogers’ dilogarithm. As an application we deduce a version of Hyers-Ulam stability for … the Spence-Abel equation.

Authors: Tobias Hartnick, Andreas Ott

Date Published: 1st Aug 2017

Publication Type: Journal

Bounded cohomology via partial differential equations, I

Abstract (Expand)

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

Authors: Tobias Hartnick, Andreas Ott

Date Published: 2015

Publication Type: Journal

Milnor-Wood type inequalities for Higgs bundles

Abstract (Expand)

We explain how the generalized Milnor–Wood inequality of Burger and Iozzi for reductive representations of a cocompact complex-hyperbolic lattice into a Hermitian Lie group translates under the non-abelian … Hodge correspondence into an inequality for topological invariants of the corresponding Higgs bundles. In this manner, we obtain in a uniform way a universal Milnor–Wood inequality for Higgs bundles over complex-hyperbolic manifolds of arbitrary dimensions and with arbitrary Hermitian structure group. This complements results of Biquard, Bradlow, García-Prada, Gothen, Mundet, Rubio and Chaput, Koziarz, Maubon.

Authors: Tobias Hartnick, Andreas Ott

Date Published: 2011

Publication Type: Misc

Katalytische Wasserstofferzeugung an einem einkernigen Eisen(II)- Carbonylkomplex als kleinstes funktionelles Modell fuer das aktive Zentrum von [FeFe]-Hydrogenasen

Abstract

Not specified

Authors: Sandeep Kaur-Ghumaan, Lennart Schwartz, Reiner Lomoth, Matthias Stein, Sascha Ott

Date Published: 2010

Publication Type: Journal

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