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arXiv · 1805.07424

Surgery induces exact sequences in Lagrangian cobordisms

Hiro Lee Tanaka
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Abstract

We prove that if L_0 and L_1 are exact branes intersecting in precisely one point, then there exists a fiber sequence in the infinity-category of Lagrangian cobordisms consisting of L_0, L_1, and a surgery of L_0 with L_1. By combining this with the exact functor from [Tan], we find analogues of results of Biran and Cornea in the wrapped and exact setting.

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Hiro Lee Tanaka. 2018-05-18. Surgery induces exact sequences in Lagrangian cobordisms. https://arxiv.org/abs/1805.07424

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