WorldCat Identities

Pandharipande, Rahul

Works: 7 works in 11 publications in 1 language and 196 library holdings
Roles: Contributor, Other, Author
Classifications: QA446, 516
Publication Timeline
Most widely held works by Rahul Pandharipande
Lectures on geometry by E Witten( )

5 editions published between 2016 and 2017 in English and held by 190 WorldCat member libraries worldwide

This book contains a series of chapters by leading mathematicians on active are as of current research in geometry. Although not explicitly linked, the topics have a common flavor and appeal to anyone interested in recent developments in geometry. Taking the form of five chapters derived from lectures given at Clay Mathematics Institute events by leaders in the field, this book is intended to be accessible to all who work in this general area, regardless of their own particular research interests. Book jacket
Noether-Lefschetz theory and the Yau-Zaslow conjecture( )

1 edition published in 2008 in English and held by 2 WorldCat member libraries worldwide

The tropical vertex by Mark Gross( )

1 edition published in 2009 in English and held by 1 WorldCat member library worldwide

The moduli space of twisted canonical divisors( )

1 edition published in 2016 in English and held by 1 WorldCat member library worldwide

Abstract : The moduli space of canonical divisors (with prescribed zeros and poles) on nonsingular curves is not compact since the curve may degenerate. We define a proper moduli space of twisted canonical divisors in $\overline{{\mathcal{M}}}_{g, n}$ which includes the space of canonical divisors as an open subset. The theory leads to geometric/combinatorial constraints on the closures of the moduli spaces of canonical divisors. In case the differentials have at least one pole (the strictly meromorphic case), the moduli spaces of twisted canonical divisors on genus $g$ curves are of pure codimension $g$ in $\overline{{\mathcal{M}}}_{g, n}$ . In addition to the closure of the canonical divisors on nonsingular curves, the moduli spaces have virtual components. In the Appendix A, a complete proposal relating the sum of the fundamental classes of all components (with intrinsic multiplicities) to a formula of Pixton is proposed. The result is a precise and explicit conjecture in the tautological ring for the weighted fundamental class of the moduli spaces of twisted canonical divisors. As a consequence of the conjecture, the classes of the closures of the moduli spaces of canonical divisors on nonsingular curves are determined (both in the holomorphic and meromorphic cases)
A geometric construction of Getzler's elliptic relation by Rahul Pandharipande( Book )

1 edition published in 1997 in English and held by 1 WorldCat member library worldwide

Théorie de l'intersection sur les espaces de différentielles holomorphes et méromorphes by Adrien Sauvaget( )

1 edition published in 2017 in English and held by 1 WorldCat member library worldwide

Nous construisons l'espace des différentielles stables : un espace des modules de différentielles méromorphes avec des pôles d'ordres fixés. Cet espace est un cône au dessus de l'espace Mg,n des courbes stables. Si l'ensemble de poles est vide, il s'agit du fibré de Hodge. Nous introduisons l'anneau tautologique du projectivisé de l'espace des différentielles stables par analogie avec Mg,n. L'espace des différentielles stables est stratifié en fonction des ordres des zéros de la différentielle. Nous montrons que la classe de cohomologie Poincaré-duale de chaque strate est tautologique et peut être calculée explicitement, ce qui constitue le résultat principal de la thèse. Nous appliquons ces résultats pour calculer des nombres de Hurwitz et pour prouver plusieurs identités dans le groupe de Picard des strates. Ensuite, nous nous intéressons aux espaces des modules des différentielles d'ordre supérieur. Une courbe munie d'une k-différentielle holomorphe possède un revêtement naturel de groupe de Galois Z/kZ. Le fibré de Hodge sur la courbe revêtante se décompose en une somme directe de sous-fibrés en fonction du car- actère de Z/kZ. Nous calculons la première classe de Chern de chacun de ces sous-fibrés. Un dernier chapitre sera consacré à l'exposé des liens conjecturaux entre les classes des strates de différentielles, les espaces de courbes r-spin et les cycles de double ramification
Holomorphic Anomaly Equations for the Formal Quintic by Hyenho Lho( )

1 edition published in 2019 in English and held by 0 WorldCat member libraries worldwide

Audience Level
Audience Level
  Kids General Special  
Audience level: 0.55 (from 0.54 for Noether-Le ... to 1.00 for Holomorphi ...)

Associated Subjects
Alternative Names
Pandharipande, R. 1969-

Rahul Pandharipande Amerikaans wiskundige

Rahul Pandharipande indisch-US-amerikanischer Mathematiker

Rahul Pandharipande matamaiticeoir Indiach

Rahul Pandharipande matemàtic indi

Rahul Pandharipande matemático indio

Rahul Pandharipande matematikan indian

Rahul Pandharipande mathématicien indien


English (11)