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19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 2010Show all

12 papers · 1 filter

cs.LO2010★ 4 cited

On the meaning of logical completeness

Michele Basaldella, Kazushige Terui

Goedel's completeness theorem is concerned with provability, while Girard's theorem in ludics (as well as full completeness theorems in game semantics) are concerned with proofs. O…

math.AG2010★ 9 cited

Alpha invariant and K-stability of Q-Fano varieties

Yuji Odaka, Yuji Sano

We give a purely algebro-geometric proof that if the alpha-invariant of a Q-Fano variety X is greater than dim X/(dim X+1), then (X,O(-K_X)) is K-stable. The key of our proof is a…

math.AP2010★ 47 cited

The geometry of a vorticity model equation

Joachim Escher, Boris Kolev, Marcus Wunsch

We provide rigorous evidence of the fact that the modified Constantin-Lax-Majda equation modeling vortex and quasi-geostrophic dynamics describes the geodesic flow on the subgroup…

math.CO2010★ 3 cited

Generic Rigidity Matroids with Dilworth Truncations

Shin-ichi Tanigawa

We prove that the linear matroid that defines generic rigidity of -dimensional body-rod-bar frameworks (i.e., structures consisting of disjoint bodies and rods mutually linked b…

math.CA2010★ 4 cited

Linear differential equations on and root systems

Kazuki Hiroe

In this paper, we study the Euler transform on linear ordinary differential operators on . The spectral type is the tuple of integers which count the multiplicities…

math.AG2010★ 7 cited

On quantization of complex symplectic manifolds

Andrea D'Agnolo, Masaki Kashiwara

Let X be a complex symplectic manifold. By showing that any Lagrangian subvariety has a unique lift to a contactification, we associate to X a triangulated category of regular holo…

math.OA2010

Lie Group-Lie Algebra Correspondences of Unitary Groups in Finite von Neumann Algebras

Hiroshi Ando, Yasumichi Matsuzawa

We give an affirmative answer to the question whether there exist Lie algebras for suitable closed subgroups of the unitary group in a Hilbert space …

nlin.CD2010★ 35 cited

Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise

Hiroya Nakao, Jun-nosuke Teramae, Denis S. Goldobin +1

An effective white-noise Langevin equation is derived that describes long-time phase dynamics of a limit-cycle oscillator subjected to weak stationary colored noise. Effective drif…

math.GT2010★ 4 cited

The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant

Takahito Kuriya, Thang T. Q. Le, Tomotada Ohtsuki

We show that the perturbative invariant of rational homology 3-spheres can be recovered from the LMO invariant for any simple Lie algebra , i.e, the LMO inva…

math.QA2010★ 36 cited

Rationality of Bershadsky-Polyakov vertex algebras

Tomoyuki Arakawa

We prove the conjecture of Kac-Wakimoto on the rationality of exceptional W-algebras for the first non-trivial series, namely, for the Bershadsky-Polyakov vertex algebras $W_3^{(2)…

math.QA2010★ 28 cited

Associated varieties of modules over Kac-Moody algebras and -cofiniteness of W-algebras

Tomoyuki Arakawa

First, we establish the relation between the associated varieties of modules over Kac-Moody algebras \hat{g} and those over affine W-algebras. Second, we prove the Feigin-Frenkel c…

math.GT2010

From mapping class groups to monoids of homology cobordisms: a survey

Kazuo Habiro, Gwenael Massuyeau

Let S be a compact oriented surface. A homology cobordism of S is a cobordism C between two copies of S, such that both the "top" inclusion and the "bottom" inclusion of S in C ind…