Publications

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1687 Publications visible to you, out of a total of 1687

Abstract

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Authors: Sebastian G Gornik, B Gideon Bergheim, Benoit Morel, Alexandros Stamatakis, Nicholas S Foulkes, Annika Guse

Date Published: 23rd Nov 2020

Publication Type: Journal

Abstract

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Authors: Chloé Braud, Christian Hardmeier, Junyi Jessy Li, Annie Louis, Michael Strube

Date Published: 20th Nov 2020

Publication Type: Proceedings

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Author: K. L. Polsterer

Date Published: 18th Nov 2020

Publication Type: InProceedings

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Authors: Hendrik Bläker, Saskia Haupt, Monika Morak, Elke Holinski‐Feder, Alexander Arnold, David Horst, Julia Sieber‐Frank, Florian Seidler, Moritz Winterfeld, Elizabeth Alwers, Jenny Chang‐Claude, Hermann Brenner, Wilfried Roth, Christoph Engel, Markus Löffler, Gabriela Möslein, Hans‐Konrad Schackert, Jürgen Weitz, Claudia Perne, Stefan Aretz, Robert Hüneburg, Wolff Schmiegel, Deepak Vangala, Nils Rahner, Verena Steinke‐Lange, Vincent Heuveline, Magnus von Knebel Doeberitz, Aysel Ahadova, Michael Hoffmeister, Matthias Kloor

Date Published: 15th Nov 2020

Publication Type: Journal

Abstract

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Authors: Jun-Yan Zhu, Chen Song, Vincent Heuveline, Bo Li, Bin-Hong Li, Zheng-Sheng Han, Xin-Yu Liu

Date Published: 3rd Nov 2020

Publication Type: InProceedings

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

Abstract

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Author: Paul Schade

Date Published: 1st Nov 2020

Publication Type: Master's Thesis

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