Punctured Logarithmic Maps

1. Auflage 2025
ISBN: 978-3-98547-086-0
Verlag: EMS Press

Buch, Englisch, 164 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 311 g

Reihe: Memoirs of the European Mathematical Society

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.

Autoren/Hrsg.

Abramovich, Dan

Chen, Qile

Gross, Mark

Siebert, Bernd

Über Autor(innen)

Abramovich, Dan
Brown University, Providence, USA

Chen, Qile
Boston College, Chestnut Hill, USA

Siebert, Bernd
The University of Texas at Austin, USA

Gross, Mark
University of Cambridge, UK