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most citedTopological Lattice Models in Four Dimensions

382 citations

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6 papers · 1 filter

math.AG2000★ 12 cited

Higher direct images of Lagrangian fibrations

Daisuke Matsushita

We prove that the higher direct images of the dualizing sheaf of a Lagrangian fibration between smooth projective manifolds are isomorphic to the cotangent bundles of base space. A…

nlin.SI2000★ 23 cited

Finite Size XXZ Spin Chain with Anisotropy Parameter

V. Fridkin, Yu. Stroganov, D. Zagier

We find an analytic solution of the Bethe Ansatz equations (BAE) for the special case of a finite XXZ spin chain with free boundary conditions and with a complex surface field whic…

cond-mat.stat-mech2000★ 6 cited

Energetics of Open Systems and Chemical Potential From Micro-Dynamics Viewpoints

Tatsuo Shibata, Ken Sekimoto

We present the energetic aspect of open systems which may exchange particles with their environments. Our attention shall be paid to the scale that the motion of the particles is d…

math.QA2000★ 6 cited

On the eigenstates of the elliptic Calogero-Moser model

Kouichi Takemura

It is known that the trigonometric Calogero-Sutherland model is obtained by the trigonometric limit (τ\to \sqrt{-1} \infty) of the elliptic Calogero-Moser model, where (1,τ) is a b…

hep-th2000★ 3 cited

String Partition Functions and Infinite Products

Toshiya Kawai, Kota Yoshioka

We continue to explore the conjectural expressions of the Gromov-Witten potentials for a class of elliptically and K3 fibered Calabi-Yau 3-folds in the limit where the base P^1 of…

math.QA2000★ 25 cited

Free Field Construction for the ABF Models in Regime II

M. Jimbo, H. Konno, S. Odake +2

The Wakimoto construction for the quantum affine algebra U_q(\hat{sl}_2) admits a reduction to the q-deformed parafermion algebras. We interpret the latter theory as a free field r…