Gromov-Witten/Pairs correspondence for the quintic 3-fold

Autor:	Rahul Pandharipande, Aaron Pixton
Rok vydání:	2016
Předmět:	Pure mathematics Applied Mathematics General Mathematics 010102 general mathematics Mathematical analysis Rational function 01 natural sciences Descendent Quintic function 0103 physical sciences 010307 mathematical physics 0101 mathematics Invariant (mathematics) Mathematics
Zdroj:	Journal of the American Mathematical Society. 30:389-449
ISSN:	1088-6834 0894-0347
DOI:	10.1090/jams/858
Popis:	We use the Gromov-Witten/Pairs (GW/P) descendent correspondence for toric 3-folds and degeneration arguments to establish the GW/P correspondence for several compact Calabi-Yau (CY) 3-folds (including all CY complete intersections in products of projective spaces). A crucial aspect of the proof is the study of the GW/P correspondence for descendents in relative geometries. Projective bundles over surfaces relative to a section play a special role. The GW/P correspondence for Calabi-Yau complete intersections provides a structure result for the Gromov-Witten invariants in a fixed curve class. After a change of variables, the Gromov-Witten series is a rational function in the variable − q = e i u -q=e^{iu} invariant under q ↔ q − 1 q \leftrightarrow q^{-1} .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::eb4f2631d80492a5677923e538664be8 https://doi.org/10.1090/jams/858 Zobrazit plný text záznamu