zeta determinant Latest Research Papers

Zeta determinant of the Laplacian on the real projective spaces

International Journal of Number Theory ◽

10.1142/s1793042119500192 ◽

2019 ◽

Vol 15 (02) ◽

pp. 373-388

Author(s):

L. Hartmann ◽

M. Spreafico

Keyword(s):

Closed Form ◽

Laplace Operator ◽

Projective Spaces ◽

The Real ◽

Final Formula ◽

The Laplace Operator ◽

Zeta Determinant ◽

Form Evaluation

We give a closed form evaluation of the zeta determinant of the Laplace operator on spheres and projective spaces that clearly describes the arithmetic structure of this number. All the factors in the final formula for the determinant are easily computable.

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The Polynomial Associated with the BFK-Gluing Formula of the Zeta-Determinant on a Compact Warped Product Manifold

Journal of Geometric Analysis ◽

10.1007/s12220-018-0003-9 ◽

2018 ◽

Vol 28 (4) ◽

pp. 3856-3891

Author(s):

Klaus Kirsten ◽

Yoonweon Lee

Keyword(s):

Warped Product ◽

Product Manifold ◽

Warped Product Manifold ◽

Gluing Formula ◽

Zeta Determinant

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Zeta determinant for double sequences of spectral type

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-2011-11061-x ◽

2012 ◽

Vol 140 (6) ◽

pp. 1881-1896 ◽

Cited By ~ 6

Author(s):

M. Spreafico

Keyword(s):

Spectral Type ◽

Double Sequences ◽

Zeta Determinant

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Zeta determinant for Laplace operators on Riemann caps

Journal of Mathematical Physics ◽

10.1063/1.3545705 ◽

2011 ◽

Vol 52 (2) ◽

pp. 023503 ◽

Cited By ~ 8

Author(s):

Antonino Flachi ◽

Guglielmo Fucci

Keyword(s):

Laplace Operators ◽

Zeta Determinant

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Spectral Analysis and Zeta Determinant on the Deformed Spheres

Communications in Mathematical Physics ◽

10.1007/s00220-007-0229-z ◽

2007 ◽

Vol 273 (3) ◽

pp. 677-704 ◽

Cited By ~ 7

Author(s):

M. Spreafico ◽

S. Zerbini

Keyword(s):

Spectral Analysis ◽

Zeta Determinant

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Asymptotic expansion of the zeta-determinant of an invertible Laplacian on a stretched manifold

Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds - Contemporary Mathematics ◽

10.1090/conm/366/06726 ◽

2005 ◽

pp. 95-108 ◽

Cited By ~ 2

Author(s):

Yoonweon Lee

Keyword(s):

Asymptotic Expansion ◽

Zeta Determinant

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Decomposition of the {$\zeta$}-determinant for the Laplacian on manifolds with cylindrical end

Illinois Journal of Mathematics ◽

10.1215/ijm/1258138512 ◽

2004 ◽

Vol 48 (4) ◽

pp. 1279-1303 ◽

Cited By ~ 11

Author(s):

Paul Loya ◽

Jinsung Park

Keyword(s):

Zeta Determinant

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Burghelea-Friedlander-Kappeler’s gluing formula for the zeta-determinant and its applications to the adiabatic decompositions of the zeta-determinant and the analytic torsion

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-03-03249-5 ◽

2003 ◽

Vol 355 (10) ◽

pp. 4093-4110 ◽

Cited By ~ 14

Author(s):

Yoonweon Lee

Keyword(s):

Analytic Torsion ◽

Gluing Formula ◽

Zeta Determinant

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Burghelea-Friedlander-Kappeler's gluing formula and the adiabatic decomposition of the zeta-determinant of a Dirac Laplacian

manuscripta mathematica ◽

10.1007/s00229-003-0370-8 ◽

2003 ◽

Vol 111 (2) ◽

pp. 241-259 ◽

Cited By ~ 2

Author(s):

Yoonweon Lee

Keyword(s):

Gluing Formula ◽

Zeta Determinant

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The $ \zeta $-determinant and Quillen determinant for a Dirac operator on a manifold with boundary

Geometric and Functional Analysis ◽

10.1007/pl00001651 ◽

2000 ◽

Vol 10 (5) ◽

pp. 1202-1236 ◽

Cited By ~ 23

Author(s):

S.G. Scott ◽

K.P. Wojciechowski

Keyword(s):

Dirac Operator ◽

Manifold With Boundary ◽

Zeta Determinant ◽

Quillen Determinant

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zeta determinant
Recently Published Documents

TOTAL DOCUMENTS

H-INDEX

Zeta determinant of the Laplacian on the real projective spaces

The Polynomial Associated with the BFK-Gluing Formula of the Zeta-Determinant on a Compact Warped Product Manifold

Zeta determinant for double sequences of spectral type

Zeta determinant for Laplace operators on Riemann caps

Spectral Analysis and Zeta Determinant on the Deformed Spheres

Asymptotic expansion of the zeta-determinant of an invertible Laplacian on a stretched manifold

Decomposition of the {$\zeta$}-determinant for the Laplacian on manifolds with cylindrical end

Burghelea-Friedlander-Kappeler’s gluing formula for the zeta-determinant and its applications to the adiabatic decompositions of the zeta-determinant and the analytic torsion

Burghelea-Friedlander-Kappeler's gluing formula and the adiabatic decomposition of the zeta-determinant of a Dirac Laplacian

The $ \zeta $-determinant and Quillen determinant for a Dirac operator on a manifold with boundary

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zeta determinantRecently Published Documents

TOTAL DOCUMENTS

H-INDEX

Zeta determinant of the Laplacian on the real projective spaces

The Polynomial Associated with the BFK-Gluing Formula of the Zeta-Determinant on a Compact Warped Product Manifold

Zeta determinant for double sequences of spectral type

Zeta determinant for Laplace operators on Riemann caps

Spectral Analysis and Zeta Determinant on the Deformed Spheres

Asymptotic expansion of the zeta-determinant of an invertible Laplacian on a stretched manifold

Decomposition of the {$\zeta$}-determinant for the Laplacian on manifolds with cylindrical end

Burghelea-Friedlander-Kappeler’s gluing formula for the zeta-determinant and its applications to the adiabatic decompositions of the zeta-determinant and the analytic torsion

Burghelea-Friedlander-Kappeler's gluing formula and the adiabatic decomposition of the zeta-determinant of a Dirac Laplacian

The $ \zeta $-determinant and Quillen determinant for a Dirac operator on a manifold with boundary

zeta determinant
Recently Published Documents