The Gopakumar-Vafa conjecture is defined and studied for the local geometry of a curve in a Calabi-Yau 3-fold. The integrality predicted in Gromov-Witten theory by the Gopakumar-Vafa BPS count is verified in a natural series of cases in this local geometry. The method involves Gromov-Witten computations, Mobius inversion, and a combinatorial analysis of the numbers of etale covers of a curve
Pdf Latex, 66 pages+30 pages of appendix, about 30 figures. Revised version: improvement in the pres...
We compute the local Gromov–Witten invariants of certain configurations of rational curves in a Cala...
In 2008, Klemm–Pandharipande defined Gopakumar–Vafa type invariants of a Calabi–Yau 4-folds X using ...
The Gopakumar-Vafa conjecture is defined and studied for the local geometry of a curve in a Calabi-Y...
In this thesis, I will introduce the Gopakumar-Vafa(GV) invariant and show one calculation on the no...
Relative Bogomolny-Prasad-Sommerfield (BPS) state counts for log Calabi-Yau surface pairs were intro...
In this paper, we propose an ansatz for defining Gopakumar–Vafa invariants of Calabi–Yau threefolds,...
We regard the work of Maulik and Toda, proposing a sheaf-theoretic approach to Gopakumar–Vafa invari...
We study Gromov-Witten invariants of a rational elliptic surface using holomorphic anomaly equation ...
We consider certain elliptic threefolds over the projective plane (more generally over certain ratio...
Let $ (S,E)$ be a log Calabi-Yau surface pair with $ E$ a smooth divisor. We define new conjecturall...
This thesis studies certain aspects of the global properties, including geometric and arithmetic, of...
In 2008, Klemm-Pandharipande defined Gopakumar-Vafa type invariants of a Calabi-Yau 4-folds $X$ usin...
In 2008, Klemm-Pandharipande defined Gopakumar-Vafa type invariants of a Calabi-Yau 4-folds $X$ usin...
Pdf Latex, 66 pages+30 pages of appendix, about 30 figures. Revised version: improvement in the pres...
Pdf Latex, 66 pages+30 pages of appendix, about 30 figures. Revised version: improvement in the pres...
We compute the local Gromov–Witten invariants of certain configurations of rational curves in a Cala...
In 2008, Klemm–Pandharipande defined Gopakumar–Vafa type invariants of a Calabi–Yau 4-folds X using ...
The Gopakumar-Vafa conjecture is defined and studied for the local geometry of a curve in a Calabi-Y...
In this thesis, I will introduce the Gopakumar-Vafa(GV) invariant and show one calculation on the no...
Relative Bogomolny-Prasad-Sommerfield (BPS) state counts for log Calabi-Yau surface pairs were intro...
In this paper, we propose an ansatz for defining Gopakumar–Vafa invariants of Calabi–Yau threefolds,...
We regard the work of Maulik and Toda, proposing a sheaf-theoretic approach to Gopakumar–Vafa invari...
We study Gromov-Witten invariants of a rational elliptic surface using holomorphic anomaly equation ...
We consider certain elliptic threefolds over the projective plane (more generally over certain ratio...
Let $ (S,E)$ be a log Calabi-Yau surface pair with $ E$ a smooth divisor. We define new conjecturall...
This thesis studies certain aspects of the global properties, including geometric and arithmetic, of...
In 2008, Klemm-Pandharipande defined Gopakumar-Vafa type invariants of a Calabi-Yau 4-folds $X$ usin...
In 2008, Klemm-Pandharipande defined Gopakumar-Vafa type invariants of a Calabi-Yau 4-folds $X$ usin...
Pdf Latex, 66 pages+30 pages of appendix, about 30 figures. Revised version: improvement in the pres...
Pdf Latex, 66 pages+30 pages of appendix, about 30 figures. Revised version: improvement in the pres...
We compute the local Gromov–Witten invariants of certain configurations of rational curves in a Cala...
In 2008, Klemm–Pandharipande defined Gopakumar–Vafa type invariants of a Calabi–Yau 4-folds X using ...