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∂ AND THE DIRAC OPERATOR.
"... In the present paper, we prove an abstract functional analytic criterion for an elliptic linear partial differential operator acting on a domain in R n to have compact resolvent. This is applied to the ∂Neumann problem in weighted L 2spaces on C n to obtain necessary and sufficient conditions for ..."
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Cited by 2 (1 self)
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the ∂Laplacian and the Dirac operator in real dimension two and prove a noncompactness result for its resolvent. 1. Introduction. The subject of the present paper is the ∂Neumann problem in weighted L 2spaces on C n. The weighted ∂Neumann operator is the inverse of the weighted complex Laplacian, see Section
The overlap Dirac operator
 Numerical Challenges in Lattice Quantum Chromodynamics
, 2000
"... Abstract. This introductory presentation describes the Overlap Dirac Operator, why it could be useful in numerical QCD, and how it can be implemented. 1 ..."
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Cited by 7 (0 self)
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Abstract. This introductory presentation describes the Overlap Dirac Operator, why it could be useful in numerical QCD, and how it can be implemented. 1
pDirac operators
"... We introduce nonlinear Dirac operators in R n associated to the pharmonic equation and we extend to other contexts including spin manifolds and the sphere. ..."
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Cited by 3 (1 self)
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We introduce nonlinear Dirac operators in R n associated to the pharmonic equation and we extend to other contexts including spin manifolds and the sphere.
DIRAC OPERATOR ON EMBEDDED HYPERSURFACES
, 2000
"... Abstract. New extrinsic lower bounds are given for the classical Dirac operator on the boundary of a compact domain of a spin manifold. The main tool is to solve some boundary problems for the Dirac operator of the domain under boundary conditions of AtiyahPatodiSinger type. Spinorial techniques a ..."
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Cited by 26 (6 self)
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Abstract. New extrinsic lower bounds are given for the classical Dirac operator on the boundary of a compact domain of a spin manifold. The main tool is to solve some boundary problems for the Dirac operator of the domain under boundary conditions of AtiyahPatodiSinger type. Spinorial techniques
The Dirac operator on hypersurfaces
 Acta Phys. Polon. B
, 1995
"... Odddimensional Riemannian spaces that are nonorientable, but have a pin structure, require the consideration of the twisted adjoint representation of the corresponding pin group. It is shown here how the Dirac operator should be modified, also on evendimensional spaces, to make it equivariant wit ..."
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Cited by 33 (4 self)
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Odddimensional Riemannian spaces that are nonorientable, but have a pin structure, require the consideration of the twisted adjoint representation of the corresponding pin group. It is shown here how the Dirac operator should be modified, also on evendimensional spaces, to make it equivariant
Dirac operator [4,5],
"... The chiral Jacobian, which is defined with Neuberger’s overlap Dirac operator of the lattice fermion, is explicitly evaluated in the continuum limit without expanding it in the gauge coupling constant. Our calculational scheme is simple and straightforward. We determine a coefficient of the chiral a ..."
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The chiral Jacobian, which is defined with Neuberger’s overlap Dirac operator of the lattice fermion, is explicitly evaluated in the continuum limit without expanding it in the gauge coupling constant. Our calculational scheme is simple and straightforward. We determine a coefficient of the chiral
Prescribing eigenvalues of the Dirac operator
 Preprint, ArXiv math.DG/0311172
"... Abstract. In this note we show that every compact spin manifold of dimension ≥ 3 can be given a Riemannian metric for which a finite part of the spectrum of the Dirac operator consists of arbitrarily prescribed eigenvalues with multiplicity 1. ..."
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Abstract. In this note we show that every compact spin manifold of dimension ≥ 3 can be given a Riemannian metric for which a finite part of the spectrum of the Dirac operator consists of arbitrarily prescribed eigenvalues with multiplicity 1.
The Dirac operator on SUq(2)
, 2005
"... 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 left and a right action of Uq(su(2)). The geometry is isospectral to the classical case since the spectrum of the operator D is the same as that of the usual Dirac operat ..."
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Cited by 43 (7 self)
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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 left and a right action of Uq(su(2)). The geometry is isospectral to the classical case since the spectrum of the operator D is the same as that of the usual Dirac
Results 1  10
of
2,931