LOCALIZATION IN GROMOV-WITTEN THEORY AND ORBIFOLD GROMOV-WITTEN THEORY

By Chiu-Chu Melissa Liu. 2011

80 citations recorded by the source corpus.

In this expository article, we explain how to use localization to compute Gromov-Witten invariants of smooth toric varieties and orbifold Gromov- Witten invariants of smooth toric Deligne-Mumford stacks.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ec5e052f79b3bea38ac8cc384e1adc6cc2c3c116

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In Geometry and Topology

1. B. Eynard
2. N. Orantin
3. Marcos Mariño
4. D. Stanford
5. Sara Pasquetti
6. R. Schiappa
7. Tudor Dimofte
8. L. Chekhov

In Mathematical Physics

1. B. Eynard
2. N. Orantin
3. Marcos Mariño
4. Tudor Dimofte
5. D. Stanford
6. P. Sułkowski
7. Sergei Gukov
8. E. Witten

Citations in the corpus

• Computation of Open Gromov–Witten Invariants for Toric Calabi–Yau 3-Folds by Topological Recursion, a Proof of the BKMP Conjecture (2012, background): “A map (Σ, f) ∈ Mg,0(X, β) is thus the union of such irreducible components Σ = ⋃ iOi of respective genus g (Oi) with respectively n (Oi) nodal points and a map f such that its restrictions fi = fOi of degree di satisfy the constraints: (6)The interested reader can find proofs and references in [41].”