Taut sutured handlebodies as twisted homology products

Margaret Nichols

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arXiv · 1810.07353

Taut sutured handlebodies as twisted homology products

Margaret Nichols

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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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Margaret Nichols. 2018-10-17. Taut sutured handlebodies as twisted homology products. https://arxiv.org/abs/1810.07353

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