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19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 2004Show all

8 papers · 1 filter

math.GT2004

Some examples related to knot sliceness

A. Stoimenow

It is known that the linking form on the 2-cover of slice knots has a metabolizer. We show that several weaker conditions, or some other conditions related to sliceness, do not imp…

math.QA2004★ 12 cited

A note on quantization operators on Nichols algebra model for Schubert calculus on Weyl groups

Anatol. N. Kirillov, Toshiaki Maeno

We give a description of the (small) quantum cohomology ring of the flag variety as a certain commutative subalgebra in the tensor product of the Nichols algebras. Our main result…

math.OA2004★ 41 cited

Extension of the structure theorem of Borchers and its application to half-sided modular inclusions

H. Araki, L. Zsido

A result of H.-W. Wiesbrock is extended from the case of a common cyclic and separating vector for the half-sided modular inclusion of von Neumann algebras to the case of a common…

math-ph2004★ 19 cited

Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations

Takashi Aoki, Takahiro Kawai, Shunsuke Sasaki +2

For a higher order linear ordinary differential operator P, its Stokes curve bifurcates in general when it hits another turning point of P. This phenomenon is most neatly understan…

nlin.SI2004★ 5 cited

A Quantization of Box-Ball Systems

Rei Inoue, Atsuo Kuniba, Masato Okado

An L operator is presented related to an infinite dimensional limit of the fusion R matrices for U_q(A^{(1)}_{n-1}) and U_q(D^{(1)}_n). It is factorized into the local propagation…

math-ph2004★ 18 cited

Synchronised Similar Triangles for Three-Body Orbit with Zero Angular Momentum

Toshiaki Fujiwara, Hiroshi Fukuda, Atsushi Kameyama +2

Geometrical properties of three-body orbits with zero angular momentum are investigated. If the moment of inertia is also constant along the orbit, the triangle whose vertexes are…

math.AG2004★ 5 cited

Multiplier ideals, b-function, and spectrum of a hypersurface singularity

Morihiko Saito

We prove that certain roots of the Bernstein-Sato polynomial (i.e. b-function) are jumping coefficients up to a sign, showing a partial converse of a theorem of L. Ein, R. Lazarsfe…

math.GT2004★ 2 cited

Goussarov-Habiro theory for string links and the Milnor-Johnson correspondence

Jean-Baptiste Meilhan

We study the Goussarov-Habiro finite type invariants theory for framed string links in homology balls. Their degree 1 invariants are computed: they are given by Milnor's triple lin…