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arXiv · 1901.06002

Lagrangian cobordism groups of higher genus surfaces

Alexandre Perrier
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Abstract

We study Lagrangian cobordism groups of oriented surfaces of genus greater than two. We compute the immersed oriented Lagrangian cobordism group of these surfaces. We show that a variant of this group, with relations given by unobstructed immersed Lagrangian cobordisms computes the Grothendieck group of the derived Fukaya category. The proof relies on an argument of Abouzaid.

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Alexandre Perrier. 2019-01-17. Lagrangian cobordism groups of higher genus surfaces. https://arxiv.org/abs/1901.06002

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