Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The monotone wrapped Fukaya category and the open-closed string map   We build the wrapped Fukaya category W(E) for any monotone symplectic
manifold, convex at infinity. We define the open-closed and closed open-string
maps. We study their algebraic properties and prove that the string maps are
compatible with the eigenvalue splitting of W(E). We extend Abouzaid's
generation criterion from the exact to the monotone setting. We construct an
acceleration functor from the compact Fukaya category which on Hochschild
(co)homology commutes with the string maps and the canonical map from quantum
cohomology QH(E) to symplectic cohomology SH(E). We define the QH(E)- and
SH(E)-module structure on the Hochschild (co)homology of W(E) which is
compatible with the string maps. The module and unital algebra structures, and
the generation criterion, also hold for the compact Fukaya category F(E), and
also hold for closed monotone symplectic manifolds. As an application, we show
that the wrapped category of any monotone negative line bundle over any
projective space is proper (cohomologically finite). For any monotone negative
line bundle E over a toric Fano variety, we show that SH(E) is non-trivial and
that W(E) contains an essential non-displaceable monotone Lagrangian torus.

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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: q-alg