zbMATH — the first resource for mathematics

A survey on toric mirror symmetry. (English) Zbl 1404.14051
Ji, Lizhen (ed.) et al., Uniformization, Riemann-Hilbert correspondence, Calabi-Yau manifolds and Picard-Fuchs equations. Based on the conference, Institute Mittag-Leffler, Stockholm, Sweden, July 13–18, 2015. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-363-0/pbk). Advanced Lectures in Mathematics (ALM) 42, 453-473 (2018).
Summary: This is a survey on the Gromov-Witten theoretic aspects of mirror symmetry for toric manifolds.
For the entire collection see [Zbl 1398.14003].
14J33 Mirror symmetry (algebro-geometric aspects)
14N35 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
14M25 Toric varieties, Newton polyhedra, Okounkov bodies
14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry