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20042006
most citedKobayashi-Hitchin correspondence for tame harmonic bundles and an application

90 citations

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Showing 2004Show all

25 papers · 1 filter

math.DG2004

Dirac-Harmonic Maps

Qun Chen, Juergen Jost, Jiayu Li +1

We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|dϕ|^2+(ψ,\Dψ)]$. In two dimensions, it is conformally invariant. The critical point…

math.DG2004★ 90 cited

Kobayashi-Hitchin correspondence for tame harmonic bundles and an application

Takuro Mochizuki

We establish the correspondence between tame harmonic bundles and -stable parabolic Higgs bundles with trivial characteristic numbers. We also show the Bogomolov-Gieseker type…

math.QA2004

Abelian homotopy Dijkgraaf-Witten theory

S. K. Hansen, J. K. Slingerland, P. R. Turner

We construct a version of Dijkgraaf-Witten theory based on a compact abelian Lie group within the formalism of Turaev's homotopy quantum field theory. As an application we show tha…

math.NT2004★ 14 cited

Renormalization and motivic Galois theory

Alain Connes, Matilde Marcolli

We investigate the nature of divergences in quantum field theory, showing that they are organized in the structure of a certain `` motivic Galois group'', which is uniquely determi…

math.QA2004

Modified regular representations of affine and Virasoro algebras, VOA structure and semi-infinite cohomology

Igor B. Frenkel, Konstantin Styrkas

We identify the algebra of matrix elements of big projective modules in category O with the regular functions on the big Bruhat cell of G. Analogous extensions of the regular repre…

math.AG2004★ 1 cited

An extension of Rais' theorem and seaweed subalgebras of simple Lie algebras

Dmitri I. Panyushev

Let $\g$ be a simple Lie algebra of type A or C. We show that the coadjoint representation of any seaweed subalgebra of $\g$ has some properties similar to that of the adjoint repr…