Gromov-Witten invariants of compact Calabi-Yau orbifolds

Katz-Klemm-Vafa conjecture for K3 surfaces

• KKV conjecture expressing Gromov-Witten invariants of K3 surfaces in terms of modular forms
• recent proof gives the first non-toric geometry in dimension greater than 1 where Gromov-Witten theory is exactly solved in all genera

related items

• Calabi-Yau threefolds

articles

• Bohan Fang, Chiu-Chu Melissa Liu, Zhengyu Zong, On the Remodeling Conjecture for Toric Calabi-Yau 3-Orbifolds, arXiv:1604.07123 [math.AG], April 25 2016, http://arxiv.org/abs/1604.07123
• R. Pandharipande, R. P. Thomas, The Katz-Klemm-Vafa conjecture for K3 surfaces, arXiv:1404.6698 [math.AG], April 27 2014, http://arxiv.org/abs/1404.6698
• Zhengyu Zong, Equivariant Gromov-Witten Theory of GKM Orbifolds, arXiv:1604.07270 [math.AG], April 25 2016, http://arxiv.org/abs/1604.07270
• Schaug, Andrew. ‘The Gromov-Witten Theory of Borcea-Voisin Orbifolds and Its Analytic Continuations’. arXiv:1506.07226 [math], 23 June 2015. http://arxiv.org/abs/1506.07226.
• Shen, Yefeng, and Jie Zhou. ‘Ramanujan Identities and Quasi-Modularity in Gromov-Witten Theory’. arXiv:1411.2078 [hep-Th], 7 November 2014. http://arxiv.org/abs/1411.2078.

expositions

• R. Pandharipande, R. P. Thomas, Notes on the proof of the KKV conjecture, arXiv:1411.0896 [math.AG], November 04 2014, http://arxiv.org/abs/1411.0896