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most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 2001Show all

9 papers · 1 filter

math.AG2001

Nonvanishing of External Products for Higher Chow Groups

Andreas Rosenschon, Morihiko Saito

Consider an external product of a higher cycle and a usual cycle which is algebraically equivalent to zero. Assume there exists an algebraically closed subfield k such that the hig…

hep-th2001★ 2 cited

Exact Solutions to the Two-dimensional BF and Yang-Mills Theories in the Light-cone Gauge

Mitsuo Abe, Noboru Nakanishi

It is shown that the BRS-formulated two-dimensional BF theory in the light-cone gauge (coupled with chiral Dirac fields) is solved very easily in the Heisenberg picture. The struct…

math-ph2001★ 10 cited

Nonlinear Transformation Group of CAR Fermion Algebra

Mitsuo Abe, Katsunori Kawamura

Based on our previous work on the recursive fermion system in the Cuntz algebra, it is shown that a nonlinear transformation group of the CAR fermion algebra is induced from a $U(2…

math.PR2001

Segal-Bargmann Transforms of One-mode Interacting Fock Spaces Associated with Gaussian and Poisson Measures

Nobuhiro Asai, Izumi Kubo, Hui-Hsiung Kuo

Let and denote the Gaussian and Poisson measures on , respectively. We show that there exists a unique measure on such that u…

hep-th2001★ 14 cited

Pseudo Cuntz Algebra and Recursive FP Ghost System in String Theory

Mitsuo Abe, Katsunori Kawamura

Representation of the algebra of FP (anti)ghosts in string theory is studied by generalizing the recursive fermion system in the Cuntz algebra constructed previously. For that purp…

math.CV2001★ 1 cited

The Elliptic Representation of the General Painlevé 6 Equation

Davide Guzzetti

We study the analytic properties and the critical behavior of the elliptic representation of solutions of the Painlevé 6 equation. We solve the connection problem for elliptic repr…

math.CO2001★ 11 cited

Random walks and random fixed-point free involutions

T. H. Baker, P. J. Forrester

A bijection is given between fixed point free involutions of with maximum decreasing subsequence size and two classes of vicious (non-intersecting) random wal…

math.AG2001★ 75 cited

Relative Lefschetz Action and BPS State Counting

Shinobu Hosono, Masa-Hiko Saito, Atsushi Takahashi

In this paper, we propose a mathematical definition of a new ``numerical invariants" of Calabi--Yau 3-folds from stable sheaves of dimension one, which is motivated by the Gopakuma…

hep-ph2001★ 59 cited

Thermodynamic Properties of Non-Equilibrium States in Quantum Field Theory

Detlev Buchholz, Izumi Ojima, Hansjoerg Roos

Within the framework of relativistic quantum field theory, a novel method is established which allows to distinguish non-equilibrium states admitting locally a thermodynamic interp…