Reduced invariants from cuspidal maps

We consider genus one enumerative invariants arising from the Smyth-Viscardi moduli space of stable maps from curves with nodes and cusps. We prove that these invariants are equal to the reduced genus one invariants of the quintic threefold, providing a modular interpretation of the latter.

Saved in:
Bibliographic Details
Main Authors: Battistella, Luca (Author) , Carocci, Francesca (Author) , Manolache, Cristina (Author)
Format: Article (Journal)
Language:English
Published: June 24, 2020
In: Transactions of the American Mathematical Society
Year: 2020, Volume: 373, Issue: 9, Pages: 6713-6756
ISSN:1088-6850
DOI:10.1090/tran/8141
Online Access:Resolving-System, Volltext: https://doi.org/10.1090/tran/8141
Get full text
Author Notes:Luca Battistella, Francesca Carocci, and Cristina Manolache
Description
Summary:We consider genus one enumerative invariants arising from the Smyth-Viscardi moduli space of stable maps from curves with nodes and cusps. We prove that these invariants are equal to the reduced genus one invariants of the quintic threefold, providing a modular interpretation of the latter.
Item Description:Gesehen am 26.11.2020
Physical Description:Online Resource
ISSN:1088-6850
DOI:10.1090/tran/8141