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Taut sutured handlebodies as twisted homology products

2018/10/17 by Margaret Irby Nichols, Nichols, Margaret
Mathematics · #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1810.07353

Abstract

Friedl and Kim show any taut sutured manifold can be realized as a twisted homology product, but their proof gives no practical description of how complicated the realizing representation needs to be. We give a number of results illustrating the relationship between the topology of a taut sutured handlebody and the complexity of a representation realizing it as a homology product.

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