Add to ORKGWe study Gromov-Witten invariants of a rational elliptic surface using holomorphic anomaly equation in [HST1](hep-th/9901151). Formulating invariance under the affine $E_8$ Weyl group symmetry, we determine conjectured invariants, the number of BPS states, from Gromov-Witten invariants. We also connect our holomorphic anomaly equation to that found by Bershadsky,Cecotti,Ooguri and Vafa [BCOV1](hep-th/9302103)
The paper is devoted to the investigation of properties of certain hypergeometric series used in str...
We study the Gromov–Witten theory of Kℙ1×ℙ1 and some Calabi–Yau hypersurfaces in toric varieties. We...
We investigate holomorphic anomalies of partition functions underlying string compactifications on C...
International audienceWe prove a higher genus version of the genus 0 local-relative correspondence o...
In this thesis we examine the counting of BPS states using wall-crossing, holomorphic anomalies and ...
The Gopakumar-Vafa conjecture is defined and studied for the local geometry of a curve in a Calabi-Y...
We consider certain elliptic threefolds over the projective plane (more generally over certain ratio...
We construct a sheaf of Fock spaces over the moduli space of elliptic curves E_y with Gamma_1(3)-lev...
We study the stringy genus-one partition function of N = 2 SCFTs. It is shown how to compute this us...
We study the stringy genus-one partition function of N = 2 SCFTs. It is shown how to compute this us...
Relative Bogomolny-Prasad-Sommerfield (BPS) state counts for log Calabi-Yau surface pairs were intro...
Let $ (S,E)$ be a log Calabi-Yau surface pair with $ E$ a smooth divisor. We define new conjecturall...
We propose localization techniques for computing Gromov-Witten invariants of maps from Riemann surfa...
In this paper, we propose an ansatz for defining Gopakumar–Vafa invariants of Calabi–Yau threefolds,...
On a polarised surface, solutions of the Vafa-Witten equations correspond to certain polystable Higg...
The paper is devoted to the investigation of properties of certain hypergeometric series used in str...
We study the Gromov–Witten theory of Kℙ1×ℙ1 and some Calabi–Yau hypersurfaces in toric varieties. We...
We investigate holomorphic anomalies of partition functions underlying string compactifications on C...
International audienceWe prove a higher genus version of the genus 0 local-relative correspondence o...
In this thesis we examine the counting of BPS states using wall-crossing, holomorphic anomalies and ...
The Gopakumar-Vafa conjecture is defined and studied for the local geometry of a curve in a Calabi-Y...
We consider certain elliptic threefolds over the projective plane (more generally over certain ratio...
We construct a sheaf of Fock spaces over the moduli space of elliptic curves E_y with Gamma_1(3)-lev...
We study the stringy genus-one partition function of N = 2 SCFTs. It is shown how to compute this us...
We study the stringy genus-one partition function of N = 2 SCFTs. It is shown how to compute this us...
Relative Bogomolny-Prasad-Sommerfield (BPS) state counts for log Calabi-Yau surface pairs were intro...
Let $ (S,E)$ be a log Calabi-Yau surface pair with $ E$ a smooth divisor. We define new conjecturall...
We propose localization techniques for computing Gromov-Witten invariants of maps from Riemann surfa...
In this paper, we propose an ansatz for defining Gopakumar–Vafa invariants of Calabi–Yau threefolds,...
On a polarised surface, solutions of the Vafa-Witten equations correspond to certain polystable Higg...
The paper is devoted to the investigation of properties of certain hypergeometric series used in str...
We study the Gromov–Witten theory of Kℙ1×ℙ1 and some Calabi–Yau hypersurfaces in toric varieties. We...
We investigate holomorphic anomalies of partition functions underlying string compactifications on C...