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arXiv · 1509.09301

On The Augmentation Categories of Positive Braid Closures

Michael Menke
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Abstract

In this paper we show that 0-resolution of a crossing in the Legendrian closure of a positive braid induces a cohomologically faithful $A_\infty$ functor on augmentation categories. In particular, we compute the bilinearized Legendrian contact cohomology of these knots for augmentations induced by 0-resolution.

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Michael Menke. 2015-09-30. On The Augmentation Categories of Positive Braid Closures. https://arxiv.org/abs/1509.09301

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