# Dirac operator

## Papers overview

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Highly Cited

2009

Highly Cited

2009

- 2009

We prove a higher Atiyahâ€“Patodiâ€“Singer index theorem for Dirac operators twisted by C-vector bundles. We use it to derive aâ€¦Â (More)

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2009

2009

- 2009

For the q-deformation Gq, 0 < q < 1, of any simply connected simple compact Lie group G we construct an equivariant spectralâ€¦Â (More)

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2006

2006

- 2006

Â§i. The Theorems In recent years mathematicians have learnt a great deal from physicists and in particular from the work ofâ€¦Â (More)

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2005

2005

- 2005

We consider supersymmetric quantum mechanical systems in arbitrary dimensions on curved spaces with nontrivial gauge fields. Theâ€¦Â (More)

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2004

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 aâ€¦Â (More)

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2004

2004

- 2004

A natural question in the study of geometric operators is that of how much information is needed to estimate the eigenvalues ofâ€¦Â (More)

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2000

2000

- 2000

This introductory presentation describes the Overlap Dirac Operator, why it could be useful in numerical QCD, and how it can beâ€¦Â (More)

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2000

2000

- 2000

New extrinsic lower bounds are given for the classical Dirac operator on the boundary of a compact domain of a spin manifold. Theâ€¦Â (More)

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Highly Cited

1996

Highly Cited

1996

- 1996

Let G be a compact connected Lie group, and (M, Ï‰) a compact Hamiltonian G-space, with moment map J : M â†’ g. Under the assumptionâ€¦Â (More)

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Highly Cited

1995

Highly Cited

1995

- 1995

Perhaps the most famous theorem of the 1960â€™s, the Atiyah-Singer index theorem bears all the hallmarks of great mathematics: itâ€¦Â (More)

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