9 citations · 15 across the 5 of their papers we have counts for
8 papers
MuRiT: Efficient Computation of Pathwise Persistence Barcodes in Multi-Filtered Flag Complexes via Vietoris-Rips Transformations
Maximilian Neumann, Michael Bleher, Lukas Hahn +5
Multi-parameter persistent homology naturally arises in applications of persistent topology to data that come with extra information depending on additional parameters, like for ex…
Higgs bundles, harmonic maps, and pleated surfaces
Andreas Ott, Jan Swoboda, Richard Wentworth +1
This paper unites the gauge-theoretic and hyperbolic-geometric perspectives on the asymptotic geometry of the character variety of SL(2,C) representations of a surface group. Speci…
Transgression in bounded cohomology and a conjecture of Monod
Andreas Ott
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 b…
Perturbations of the Spence-Abel equation and deformations of the dilogarithm function
Tobias Hartnick, Andreas Ott
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 Hye…
Bounded cohomology via partial differential equations, I
Tobias Hartnick, Andreas Ott
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 applica…
Bounded cohomology, Higgs bundles, and Milnor-Wood inequalities
Tobias Hartnick, Andreas Ott
We explain how the generalized Milnor-Wood inequality for reductive representations of a cocompact complex-hyperbolic lattice into a Hermitian Lie group translates, under the non-a…
Removal of singularities and Gromov compactness for symplectic vortices
Andreas Ott
We prove that the moduli space of gauge equivalence classes of symplectic vortices with uniformly bounded energy in a compact Hamiltonian manifold admits a Gromov compactification…
Surjectivity of the comparison map in bounded cohomology for Hermitian Lie groups
Tobias Hartnick, Andreas Ott
We prove surjectivity of the comparison map from continuous bounded cohomology to continuous cohomology for Hermitian Lie groups with finite center. For general semisimple Lie grou…