This thorough and detailed exposition is the result of an intensive month-long course on
mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry …

Errata for the first printing as of April 26, 2017: Page xviii: Add the following at the bottom of
the page:“PS: A list of typographical errors for the book can be found at the web site …

We prove mirror symmetry for supersymmetric sigma models on Kahler manifolds in 1+ 1
dimensions. The proof involves establishing the equivalence of the gauged linear sigma …

Given a holomorphic vector bundle E over a compact Kähler manifold X, one defines twisted
Gromov-Witten invariants of X to be intersection numbers in moduli spaces of stable maps f …

Stable quasimaps to GIT quotients - ScienceDirect Skip to main contentSkip to article
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Abstract Many N=(2, 2) N=(2, 2) two-dimensional nonlinear sigma models with Calabi–Yau
target spaces admit ultraviolet descriptions as N=(2, 2) N=(2, 2) gauge theories (gauged …

Given a vector bundle F on a smooth Deligne–Mumford stack X and an invertible
multiplicative characteristic class c, we define orbifold Gromov–Witten invariants of X twisted …

Abstract Twisted Gromov-Witten invariants are intersection numbers in moduli spaces of
stable maps to a manifold or orbifold X which depend in addition on a vector bundle over X …

Using combinatorial dualities for reflexive polyhedra and Gorenstein cones together with the
theory of generalized GKZ-hypergeometric functions, one can extend the calculation of the …

For each positive rational number epsilon, the theory of epsilon-stable quasimaps to certain
GIT quotients W//G developed in arXiv: 1106.3724 [math. AG] gives rise to a Cohomological …