644 citations
- Princeton Plasma Physics LaboratoryUS10 papers
- New York UniversityUS5 papers
- University of British ColumbiaCA5 papers
- University of California, BerkeleyUS5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Laboratoire de Physique ThéoriqueFR4 papers
- Tel Aviv UniversityIL4 papers
- Courant Institute of Mathematical SciencesUS3 papers
- ETH ZurichCH3 papers
- Johannes Kepler University of LinzAT3 papers
- Johns Hopkins UniversityUS3 papers
- National High Magnetic Field LaboratoryUS3 papers
8 papers · 1 filter
Theta functions of arbitrary order and their derivatives
Samuel Grushevsky, Riccardo Salvati Manni
In this paper we establish the relationships between theta functions of arbitrary order and their derivatives. We generalize our previous work math.AG/0310085 and prove that for an…
A topological view of Gromov-Witten theory
D. Maulik, R. Pandharipande
We study relative Gromov-Witten theory via universal relations provided by the interaction of degeneration and localization. We find relative Gromov-Witten theory is completely det…
Seifert -bundles
János Kollár
A Seifert bundle over a variety X is a variety Y with a proper action of the multiplicative group such that the quotient is X. The topological version of this notion (using circle…
Convex rationally connected varieties
R. Pandharipande
Nonsingular projective varieties which are both convex and rationally connected are considered. We ask whether such varieties must be algebraic homogeneous spaces G/P. In case X is…
The theta characteristic of a branched covering
Alex Eskin, Andrei Okounkov, Rahul Pandharipande
We give a group-theoretic description of the parity of a pull-back of a theta characteristic under a branched covering. It involves lifting monodromy of the covering to the semidir…
Planar dimers and Harnack curves
Richard Kenyon, Andrei Okounkov
In this paper we study the connection between dimers and Harnack curves discovered in math-ph/0311005. We prove that every Harnack curve arises as a spectral curve of some dimer mo…