Virasoro blocks and quasimodular forms
A bstract We analyse Virasoro blocks in the regime of heavy intermediate exchange
(hp→∞). For the 1-point block on the torus and the 4-point block on the sphere, we show …
(hp→∞). For the 1-point block on the torus and the 4-point block on the sphere, we show …
Computing a categorical Gromov–Witten invariant
A Căldăraru, J Tu - Compositio Mathematica, 2020 - cambridge.org
We compute the described by Polishchuk. This is the first non-trivial computation of a
positive-genus categorical Gromov–Witten invariant, and the result agrees with the …
positive-genus categorical Gromov–Witten invariant, and the result agrees with the …
[图书][B] Jacobi-like forms, pseudodifferential operators, and quasimodular forms
YJ Choie, MH Lee - 2019 - Springer
This book is concerned with various topics centered around connections of quasimodular
forms with Jacobi-like forms and automorphic pseudodifferential operators and is intended …
forms with Jacobi-like forms and automorphic pseudodifferential operators and is intended …
Calabi-Yau threefolds of type K (II): mirror symmetry
K Hashimoto, A Kanazawa - arXiv preprint arXiv:1511.08778, 2015 - arxiv.org
A Calabi-Yau threefold is called of type K if it admits an\'etale Galois covering by the product
of a K3 surface and an elliptic curve. In our previous paper, based on Oguiso-Sakurai's …
of a K3 surface and an elliptic curve. In our previous paper, based on Oguiso-Sakurai's …
Holomorphic anomaly of 2d Yang-Mills theory on a torus revisited
K Okuyama, K Sakai - Journal of High Energy Physics, 2019 - Springer
A bstract We study the large N't Hooft expansion of the chiral partition function of 2d U (N)
Yang-Mills theory on a torus. There is a long-standing puzzle that no explicit holomorphic …
Yang-Mills theory on a torus. There is a long-standing puzzle that no explicit holomorphic …
Degenerations and Lagrangian fibrations of Calabi-Yau manifolds
A Kanazawa - arXiv preprint arXiv:1801.02749, 2018 - arxiv.org
We discuss various topics on degenerations and special Lagrangian torus fibrations of
Calabi-Yau manifolds in the context of mirror symmetry. A particular emphasis is on Tyurin …
Calabi-Yau manifolds in the context of mirror symmetry. A particular emphasis is on Tyurin …
A Lecture on Holomorphic Anomaly Equations and Extended Holomorphic Anomaly Equations
CCM Liu - arXiv preprint arXiv:1907.07705, 2019 - arxiv.org
arXiv:1907.07705v1 [math-ph] 17 Jul 2019 Page 1 arXiv:1907.07705v1 [math-ph] 17 Jul 2019
A Lecture on Holomorphic Anomaly Equations and Extended Holomorphic Anomaly Equations …
A Lecture on Holomorphic Anomaly Equations and Extended Holomorphic Anomaly Equations …
Mirror Theorem for Elliptic Quasimap Invariants of Local Calabi–Yau Varieties
H Lho, J Oh - Michigan Mathematical Journal, 2018 - projecteuclid.org
The elliptic quasi-map potential function is explicitly calculated for Calabi–Yau complete
intersections in projective spaces in [13]. We extend this result to local Calabi–Yau varieties …
intersections in projective spaces in [13]. We extend this result to local Calabi–Yau varieties …
BCOV rings on elliptic curves and eta function
S Okada - arXiv preprint arXiv:1601.08029, 2016 - arxiv.org
Associated Legendre functions of the first kind give a family of BCOV rings on elliptic curves.
We prove that the family is parametrized by $ q $-exponents of the eta function $\eta (q^{24}) …
We prove that the family is parametrized by $ q $-exponents of the eta function $\eta (q^{24}) …
[引用][C] Degenerations, theta functions and geometric quantization in mirror symmetry
A Kanazawa - Preprint, January, 2018