On quantum cohomology rings for hypersurfaces in CPN-1

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8 Citations (Scopus)

Abstract

Using the torus action method, we construct a one-variable polynomial representation of quantum cohomology ring for degree k hypersurface in CPN-1. The results interpolate the well-known result of CPN-2 model and the one of Calabi-Yau hypersuface in CPN-1. We find in the k≤N-2 case, the principal relation of this ring has a very simple form compatible with toric compactification of moduli space of holomorphic maps from CP1 to CPN-1.

Original languageEnglish
Pages (from-to)6613-6638
Number of pages26
JournalJournal of Mathematical Physics
Volume38
Issue number12
DOIs
Publication statusPublished - Dec 1997
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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