Punctured logarithmic maps / Dan Abramovich, Qile Chen, Mark Gross, Bernd Siebert.

Format:

Book

Author/Creator:

Abramovich, D. (Dan), author.

Chen, Qile, author.

Gross, Mark, 1965- author.

Siebert, Bernd, author.

Series:

Memoirs of the European Mathematical Society ; v. 15.

Memoirs of the European Mathematical Society, 2747-9080 ; vol.15 / 2025

Language:

English

Subjects (All):

Gromov-Witten invariants.

Physical Description:

viii, 156 pages : illustrations ; 24 cm.

Place of Publication:

Berlin : EMS Press [2025]

Summary:

"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."--Publisher.

Notes:

Includes bibliographical references (pages 153-156).

Other Format:

Online version: Abramovich, D. (Dan). Punctured logarithmic maps.

ISBN:

9783985470860

3985470863

OCLC:

1506286045

Publisher Number:

90103308011