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19912020
most citedTopological Lattice Models in Four Dimensions

382 citations

Showing 2008Show all

10 papers · 1 filter

math.GT2008★ 11 cited

Knotting corks

Selman Akbulut, Kouichi Yasui

It is known that every exotic smooth structure on a simply connected closed 4-manifold is determined by a codimention zero compact contractible Stein submanifold and an involution…

math.RT2008★ 3 cited

On the restricted Verma modules at the critical level

Tomoyuki Arakawa, Peter Fiebig

We study the restricted Verma modules of an affine Kac-Moody algebra at the critical level with special emphasis on their Jordan-H"older multiplicities. The Feigin-Frenkel conjectu…

nlin.AO2008★ 63 cited

Collective dynamical response of coupled oscillators with any network structure

Hiroshi Kori, Yoji Kawamura, Hiroya Nakao +2

We formulate a reduction theory that describes the response of an oscillator network as a whole to external forcing applied nonuniformly to its constituent oscillators. The phase d…

math-ph2008

A Unified Scheme of Measurement and Amplification Processes based on Micro-Macro Duality -- Stern-Gerlach experiment as a typical example

Ryo Harada, Izumi Ojima

A unified scheme for quantum measurement processes is formulated on the basis of Micro-Macro duality as a mathematical expression of the general idea of quantum-classical correspon…

math.AG2008★ 27 cited

Counting invariant of perverse coherent sheaves and its wall-crossing

Kentaro Nagao, Hiraku Nakajima

We introduce moduli spaces of stable perverse coherent systems on small crepant resolutions of Calabi-Yau 3-folds and consider their Donaldson-Thomas type counting invariants. The…

math.GT2008★ 3 cited

Surgery presentations of coloured knots and of their covering links

Andrew Kricker, Daniel Moskovich

We consider knots equipped with a representation of their knot groups onto a dihedral group D_{2n} (where n is odd). To each such knot there corresponds a closed 3-manifold, the (i…

math-ph2008

White noise analysis on manifolds and the energy representation of a gauge group

Takahiro Hasebe

The energy representation of a gauge group on a Riemannian manifold has been discussed by several authors. Y. Shimada has shown the irreducibility for compact Riemannian manifold,…

math.NT2008

Smallness of fundamental groups for arithmetic schemes

Shinya Harada, Toshiro Hiranouchi

The smallness is proved of fundamental groups for arithmetic schemes. This is a higher dimensional analogue of the Hermite-Minkowski theorem. We also refer to the case of varieties…

math.DG2008★ 107 cited

Wild Harmonic Bundles and Wild Pure Twistor D-modules

Takuro Mochizuki

We study (i) asymptotic behaviour of wild harmonic bundles, (ii) the relation between semisimple meromorphic flat connections and wild harmonic bundles, (iii) the relation between…

math.QA2008★ 23 cited

Representation theory of W-algebras, II: Ramond twisted representations

Tomoyuki Arakawa

We study the Ramond twisted representations of the affine W-algebra W^k(g,f) in the case that f admits a good even grading. We establish the vanishing and the almost irreducibility…