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arXiv · 1510.00956

The virtual cohomology dimension of Teichmüller modular groups: the first results and a road not taken

Nikolai V. Ivanov
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Abstract

The paper is devoted to a detailed exposition of results outlined in author's 1983 note "On the virtual cohomology dimension of the Teichmüller modular group". The paper includes the full proofs and a discussion of the context which motivated both the results and the methods used. The reminiscences included into the last section are an integral part of this discussion. A key idea is to use the simply-connectedness of the Hatcher-Thurston complex. This idea was hardly developed further, but still keeps a promise.

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Nikolai V. Ivanov. 2023-10-28. The virtual cohomology dimension of Teichmüller modular groups: the first results and a road not taken. https://arxiv.org/abs/1510.00956

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