For a swappable stop the Orlov functor is spherical and its twist equals the geometric wrap-once map, while the Viterbo transfer map to a Weinstein subdomain is a homological epimorphism.
Partially wrapped Fukaya categories of simplicial skeleta
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abstract
A class of partially wrapped Fukaya categories in $T^* N$ are proven to be well defined and then studied. In the case of $N$ diffeomorphic to $\mathbb{R}^m \times \mathbb{T}^n$, it is shown that these categories provide homological mirrors to equivariant and non-equivariant categories of coherent sheaves on toric varieties. This gives a new Floer theoretic formulation of mirror symmetry in the non-complete case.
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2019 1verdicts
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Orlov and Viterbo functors in partially wrapped Fukaya categories
For a swappable stop the Orlov functor is spherical and its twist equals the geometric wrap-once map, while the Viterbo transfer map to a Weinstein subdomain is a homological epimorphism.