Dirac operator

Known as: Harmonic spinor 
In mathematics and quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half-iterate, of a second-order… (More)
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Papers overview

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Highly Cited
2009
Highly Cited
2009
We prove a higher Atiyah–Patodi–Singer index theorem for Dirac operators twisted by C-vector bundles. We use it to derive a… (More)
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2009
2009
For the q-deformation Gq, 0 < q < 1, of any simply connected simple compact Lie group G we construct an equivariant spectral… (More)
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2006
2006
§i. The Theorems In recent years mathematicians have learnt a great deal from physicists and in particular from the work of… (More)
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2005
2005
We consider supersymmetric quantum mechanical systems in arbitrary dimensions on curved spaces with nontrivial gauge fields. The… (More)
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2004
2004
We construct a 3+-summable spectral triple (A(SUq(2)),H,D) over the quantum group SUq(2) which is equivariant with respect to a… (More)
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2004
2004
A natural question in the study of geometric operators is that of how much information is needed to estimate the eigenvalues of… (More)
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2000
2000
This introductory presentation describes the Overlap Dirac Operator, why it could be useful in numerical QCD, and how it can be… (More)
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2000
2000
New extrinsic lower bounds are given for the classical Dirac operator on the boundary of a compact domain of a spin manifold. The… (More)
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Highly Cited
1996
Highly Cited
1996
  • ECKHARD MEINRENKEN
  • 1996
Let G be a compact connected Lie group, and (M, ω) a compact Hamiltonian G-space, with moment map J : M → g. Under the assumption… (More)
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Highly Cited
1995
Highly Cited
1995
Perhaps the most famous theorem of the 1960’s, the Atiyah-Singer index theorem bears all the hallmarks of great mathematics: it… (More)
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