
Punctured Logarithmic Maps
EMS Press
1st Edition
Published in February 2025
Book
Hardback
IX, 164 pages
978-3-98547-086-0 (ISBN)
Description
We introduce a variant of stable logarithmic maps, which we call punctured logarithmic maps. They allow an extension of logarithmic Gromov-Witten theory in which marked points have a negative order of tangency with boundary divisors.
As a main application we develop a gluing formalism which reconstructs stable logarithmic maps and their virtual cycles without expansions of the target, with tropical geometry providing the underlying combinatorics.
Punctured Gromov-Witten invariants also play a pivotal role in the intrinsic construction of mirror partners by the last two authors, conjecturally relating to symplectic cohomology, and in the logarithmic gauged linear sigma model in work of Qile Chen, Felix Janda and Yongbin Ruan.
More details
Series
Language
English
Place of publication
Berlin
Germany
Target group
Professional and scholarly
Dimensions
Height: 24 cm
Width: 17 cm
Weight
311 gr
ISBN-13
978-3-98547-086-0 (9783985470860)
DOI
10.4171/mems/15
Schweitzer Classification
Persons
Author
Brown University, Providence, USA
Brown University, Providence, USA
Brown University, Providence, USA
Boston College, Chestnut Hill, USA
Boston College, Chestnut Hill, USA
Boston College, Chestnut Hill, USA
University of Cambridge, UK
University of Cambridge, UK
University of Cambridge, UK
The University of Texas at Austin, USA
The University of Texas at Austin, USA
The University of Texas at Austin, USA