Publications

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81 Publications visible to you, out of a total of 81

Abstract

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Authors: Mitul Islam, Andrew Zimmer

Date Published: 1st Mar 2021

Publication Type: Journal

Abstract

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Author: Giulio Belletti

Date Published: 1st Feb 2021

Publication Type: Journal

Abstract

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

Date Published: 2021

Publication Type: InBook

Abstract

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

Date Published: 2021

Publication Type: InProceedings

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Authors: Anja Randecker, Giulio Tiozzo

Date Published: 2021

Publication Type: Journal

Abstract

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

Date Published: 2021

Publication Type: Journal

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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