Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Log geometry and exploded manifolds

Log geometry and exploded manifolds Log Gromov-Witten invariants have recently been defined separately by Gross and Siebert and Abramovich and Chen. This paper provides a dictionary between log geometry and holomorphic exploded manifolds in order to compare Gromov-Witten invariants defined using exploded manifolds or log schemes. The gluing formula for Gromov-Witten invariants of exploded manifolds suggests an approach to proving analogous gluing formulas for log Gromov-Witten invariants. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Springer Journals

Log geometry and exploded manifolds

Download PDF
39 pages

Loading next page...
 
/lp/springer-journals/log-geometry-and-exploded-manifolds-3x5CNgqGOT

References (19)

Publisher
Springer Journals
Copyright
Copyright © 2012 by Mathematisches Seminar der Universität Hamburg and Springer
Subject
Mathematics; Algebra; Differential Geometry; Combinatorics; Geometry; Number Theory; Topology
ISSN
0025-5858
eISSN
1865-8784
DOI
10.1007/s12188-012-0065-8
Publisher site
See Article on Publisher Site

Abstract

Log Gromov-Witten invariants have recently been defined separately by Gross and Siebert and Abramovich and Chen. This paper provides a dictionary between log geometry and holomorphic exploded manifolds in order to compare Gromov-Witten invariants defined using exploded manifolds or log schemes. The gluing formula for Gromov-Witten invariants of exploded manifolds suggests an approach to proving analogous gluing formulas for log Gromov-Witten invariants.

Journal

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg – Springer Journals

Published: Apr 4, 2012

There are no references for this article.