The monotone wrapped Fukaya category and the open-closed string map

@article{Ritter2017TheMW,
  title={The monotone wrapped Fukaya category and the open-closed string map},
  author={Alexander Ritter and Ivan Smith},
  journal={Selecta Mathematica},
  year={2017},
  volume={23},
  pages={533-642}
}
We build the wrapped Fukaya category $${\mathcal {W}}(E)$$W(E) for any monotone symplectic manifold E, convex at infinity. We define the open-closed and closed-open string maps, $${\mathrm {OC}}:{\mathrm {HH}}_*({\mathcal {W}}(E))\rightarrow { SH }^*(E)$$OC:HH∗(W(E))→SH∗(E) and $${\mathrm {CO}}: { SH }^*(E)\rightarrow {\mathrm {HH}}^*({\mathcal {W}}(E))$$CO:SH∗(E)→HH∗(W(E)). We study their algebraic properties and prove that the string maps are compatible with the $$c_1({ TE })$$c1(TE… CONTINUE READING

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