Derived resolution property for stacks, Euler classes and applications

Yi Hu, Jun Li

Research output: Contribution to journalArticle

Abstract

By resolving any perfect derived object over a Deligne-Mumford stack, we define its Euler class. We then apply it to define the Euler numbers for a smooth Calabi-Yau threefold in ℙ4. These numbers are conjectured to be the reduced Gromov-Witten invariants and to determine the usual Gromov-Witten numbers of the smooth quintic as speculated by J. Li and A. Zinger.

Original languageEnglish (US)
Pages (from-to)677-690
Number of pages14
JournalMathematical Research Letters
Volume18
Issue number4
StatePublished - Jul 2011

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Euler Class
Calabi-Yau Threefolds
Gromov-Witten Invariants
Euler numbers
Quintic
Object

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Derived resolution property for stacks, Euler classes and applications. / Hu, Yi; Li, Jun.

In: Mathematical Research Letters, Vol. 18, No. 4, 07.2011, p. 677-690.

Research output: Contribution to journalArticle

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