The Kyoto Journal of Mathematics has a long and distinguished history of publishing high-quality and original mathematical research. It publishes research papers and surveys at the forefront of pure mathematics. Advance publication of articles online is available.

Top downloads over the last seven days

The imbedding theorems for weighted Sobolev spacesToshio HoriuchiVolume 29, Number 3 (1989)
A few examples of local rings, IJun-ichi NishimuraVolume 52, Number 1 (2012)
Smoothing effect of weak solutions for the spatially homogeneous Boltzmann equation without angular cutoffRadjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai, Chao-Jiang Xu, and Tong YangVolume 52, Number 3 (2012)
On the uniqueness of solutions of stochastic differential equationsToshio Yamada and Shinzo WatanabeVolume 11, Number 1 (1971)
Inductive limits of topologies, their direct products, and problems related to algebraic structuresTakeshi Hirai, Hiroaki Shimomura, Nobuhiko Tatsuuma, and Etsuko HiraiVolume 41, Number 3 (2001)
  • Includes:

    Kyoto Journal of Mathematics
    Coverage: 2010--
    ISSN: 2154-3321 (electronic), 2156-2261 (print)

    Journal of Mathematics of Kyoto University
    Coverage: 1961-2009
    ISSN: 0023-608X (print)

    Memoirs of the College of Science, University of Kyoto. Series A: Mathematics
    Coverage: 1950-1961
    ISSN: 0368-8887 (print)

  • Publisher: Duke University Press
  • Discipline(s): Mathematics
  • Full text available in Euclid: 1950--
  • Access: Articles older than 5 years are open
  • Euclid URL: https://projecteuclid.org/kjm

Featured bibliometrics

MR Citation Database MCQ (2018): 0.53
JCR (2019) Impact Factor: 0.760
JCR (2019) Five-year Impact Factor: 0.704
JCR (2019) Ranking: 171/324 (Mathematics)
Eigenfactor: Kyoto Journal of Mathematics
SJR/SCImago Journal Rank (2019): 1.26

Indexed/Abstracted in: ISI Science Citation Index Expanded, MathSciNet, Scopus, zbMATH

Featured article

A Fock sheaf for Givental quantization

Tom Coates and Hiroshi Iritani Volume 58, Number 4 (2018)
Abstract

We give a global, intrinsic, and coordinate-free quantization formalism for Gromov–Witten invariants and their B-model counterparts, which simultaneously generalizes the quantization formalisms described by Witten, Givental, and Aganagic–Bouchard–Klemm. Descendant potentials live in a Fock sheaf, consisting of local functions on Givental’s Lagrangian cone that satisfy the (3g2)-jet condition of Eguchi–Xiong; they also satisfy a certain anomaly equation, which generalizes the holomorphic anomaly equation of Bershadsky–Cecotti–Ooguri–Vafa. We interpret Givental’s formula for the higher-genus potentials associated to a semisimple Frobenius manifold in this setting, showing that, in the semisimple case, there is a canonical global section of the Fock sheaf. This canonical section automatically has certain modularity properties. When X is a variety with semisimple quantum cohomology, a theorem of Teleman implies that the canonical section coincides with the geometric descendant potential defined by Gromov–Witten invariants of X. We use our formalism to prove a higher-genus version of Ruan’s crepant transformation conjecture for compact toric orbifolds. When combined with our earlier joint work with Jiang, this shows that the total descendant potential for a compact toric orbifold X is a modular function for a certain group of autoequivalences of the derived category of X.

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