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81 Publications visible to you, out of a total of 81
A flat torus theorem for convex co-compact actions of projective linear groups

Abstract

Not specified

Authors: Mitul Islam, Andrew Zimmer

Date Published: 1st Mar 2021

Publication Type: Journal

The maximum volume of hyperbolic polyhedra

Abstract

Not specified

Author: Giulio Belletti

Date Published: 1st Feb 2021

Publication Type: Journal

Open Problems in the Topology of Manifolds

Abstract

Not specified

Authors: Jonathan Bowden, Diarmuid Crowley, Jim Davis, Stefan Friedl, Carmen Rovi, Stephan Tillmann

Date Published: 2021

Publication Type: InBook

Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approach

Abstract

Not specified

Authors: Federico Lopez, Beatrice Pozzetti, Steve Trettel, Michael Strube, Anna Wienhard

Date Published: 2021

Publication Type: InProceedings

Cusp excursion in hyperbolic manifolds and singularity of harmonic measure

Abstract

Not specified

Authors: Anja Randecker, Giulio Tiozzo

Date Published: 2021

Publication Type: Journal

Finding self-similar behavior in quantum many-body dynamics via persistent homology

Abstract

Not specified

Authors: Daniel Spitz, Jürgen Berges, Markus Oberthaler, Anna Wienhard

Date Published: 2021

Publication Type: Journal

Signature cocycles on the mapping class group and symplectic groups

Abstract (Expand)

Werner Meyer constructed a cocycle in H^2(Sp_2(g,Z); Z) which computes the signature of a closed oriented surface bundle over a surface. By studying properties of this cocycle, he also showed that the … signature of such a surface bundle is a multiple of 4. In this paper, we study signature cocycles both from the geometric and algebraic points of view. We present geometric constructions which are relevant to the signature cocycle and provide an alternative to Meyer's decomposition of a surface bundle. Furthermore, we discuss the precise relation between the Meyer and Wall-Maslov index. The main theorem of the paper, Theorem 6.6, provides the necessary group cohomology results to analyze the signature of a surface bundle modulo any integer N. Using these results, we are able to give a complete answer for N=2,4 and 8, and based on a theorem of Deligne, we show that this is the best we can hope for using this method.

Authors: Dave Benson, Caterina Campagnolo, Andrew Ranicki, Carmen Rovi

Date Published: 1st Nov 2020

Publication Type: Journal

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