Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. DMJ emphasizes the most active and influential areas of current mathematics. Advance publication of articles online is available.

  • ISSN: 0012-7094 (print), 1547-7398 (electronic)
  • Publisher: Duke University Press
  • Discipline(s): Mathematics
  • Full text available in Euclid: 1935--
  • Access: By subscription only
  • Euclid URL: http://projecteuclid.org/dmj

Featured bibliometrics

MR Citation Database MCQ (2015): 2.26
JCR (2015) Impact Factor: 2.350
JCR (2015) Five-year Impact Factor: 2.337
JCR (2015) Ranking: 9/312 (Mathematics)
Article Influence: 3.899
Eigenfactor: Duke Mathematical Journal
SJR/SCImago Journal Rank (2015): 5.675

Indexed/Abstracted in: CompuMath Citation Index, Current Contents: Physical, Chemical, and Earth Sciences, International Bibliography of Periodical Literature (IBZ), ISI Science Citation Index Expanded, Magazines for Libraries, MathSciNet, Scopus, zbMATH

Featured article

Gamma classes and quantum cohomology of Fano manifolds: Gamma conjectures

Sergey Galkin , Vasily Golyshev , and Hiroshi Iritani Volume 165, Number 11 (2016)
Abstract

We propose Gamma conjectures for Fano manifolds which can be thought of as a square root of the index theorem. Studying the exponential asymptotics of solutions to the quantum differential equation, we associate a principal asymptotic class AF to a Fano manifold F. We say that F satisfies Gamma conjecture I if AF equals the Gamma class ΓˆF. When the quantum cohomology of F is semisimple, we say that F satisfies Gamma conjecture II if the columns of the central connection matrix of the quantum cohomology are formed by ΓˆFCh(Ei) for an exceptional collection {Ei} in the derived category of coherent sheaves Dcohb(F). Gamma conjecture II refines a part of a conjecture by Dubrovin. We prove Gamma conjectures for projective spaces and Grassmannians.