Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Yoonweon Lee"'
Autor:
Klaus Kirsten, Yoonweon Lee
Publikováno v:
Symmetry, Vol 10, Iss 1, p 31 (2018)
We provide a completely new perspective for the analysis of Casimir forces in very general piston configurations. To this end, in order to be self-contained, we prove a “gluing formula” well known in mathematics and relate it with Casimir forces
Externí odkaz:
https://doaj.org/article/faa9b3b6a9a2464f89b8d9a91087265c
Autor:
Klaus Kirsten, Yoonweon Lee
Publikováno v:
Annals of Global Analysis and Geometry. 59:537-547
We exploit conformal transformations of gluing formulas to realize connections between zeta functions of Laplacians and associated Dirichlet-to-Neumann map zeta functions. Furthermore, the geometric content in gluing formulas is identified and explic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::10af316a86226a84e601fc46006cf0f4
https://doi.org/10.1007/s10455-021-09763-8
https://doi.org/10.1007/s10455-021-09763-8
Autor:
Yoonweon Lee, Klaus Kirsten
Publikováno v:
Journal of Spectral Theory. 10:1007-1051
In the proof of the BFK-gluing formula for zeta-determinants of Laplacians there appears a real polynomial whose constant term is an important ingredient in the gluing formula. This polynomial is determined by geometric data on an arbitrarily small c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df7f86922f7f1fcb76a2f031fdcbd816
https://doi.org/10.4171/jst/320
https://doi.org/10.4171/jst/320
Autor:
Yoonweon Lee, Klaus Kirsten
Publikováno v:
Operator Theory: Advances and Applications ISBN: 9783030754242
The Dirichlet-to-Neumann operator plays a central role in the BFK-gluing formula for zeta-determinants of Laplacians, whose homogeneous symbols are invariants with respect to conformal rescaling of Riemannian metrics. We use this property together wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9956cd41b352e6831557abdeff9b1256
https://doi.org/10.1007/978-3-030-75425-9_15
https://doi.org/10.1007/978-3-030-75425-9_15
Autor:
Yoonweon Lee, Klaus Kirsten
Publikováno v:
The Journal of Geometric Analysis. 28:3856-3891
In the proof of the BFK-gluing formula of the zeta-determinant of a Laplacian there appears a polynomial of degree less than half of the dimension of an underlying manifold. This polynomial is determined completely by some data on a collar neighborho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c85ce89f32cb824bb6944a1f0ed85c68
https://doi.org/10.1007/s12220-018-0003-9
https://doi.org/10.1007/s12220-018-0003-9
Autor:
Klaus Kirsten, Yoonweon Lee
Publikováno v:
Journal of Geometry and Physics. 117:197-213
In this paper we use the BFK-gluing formula for zeta-determinants to express the relative determinant of Laplacians on a manifold with cusps by the product of the determinant of a Laplacian on a compact manifold with boundary augmented by the Dirichl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ddd36898f0257850db56c01a456e6bc
https://doi.org/10.1016/j.geomphys.2017.03.013
https://doi.org/10.1016/j.geomphys.2017.03.013
Autor:
Yoonweon Lee, Klaus Kirsten
Publikováno v:
Symmetry; Volume 10; Issue 1; Pages: 31
Symmetry, Vol 10, Iss 1, p 31 (2018)
Symmetry, Vol 10, Iss 1, p 31 (2018)
We provide a completely new perspective for the analysis of Casimir forces in very general piston configurations. To this end, in order to be self-contained, we prove a “gluing formula” well known in mathematics and relate it with Casimir forces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f549ae4b3f6ba56aff3ff4bd006dac7
Autor:
Yoonweon Lee, Rung-Tzung Huang
Publikováno v:
Geometriae Dedicata. 181:43-59
In Huang and Lee (in The Refined Analytic Torsion and a Well-posed Boundary Condition for the Odd Signature Operator, 2010) introduced a pair of new de Rham complexes on a compact oriented Riemannian manifold with boundary by using a pair of global b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3762d14491d1fe6246c67dc0a601b1f6
https://doi.org/10.1007/s10711-015-0111-7
https://doi.org/10.1007/s10711-015-0111-7
Autor:
Rung-Tzung Huang, Yoonweon Lee
Publikováno v:
Journal of Geometry and Physics. 76:79-96
The refined analytic torsion on compact Riemannian manifolds with boundary has been discussed by B. Vertman and the authors, but these two constructions are completely different. Vertman used a double of de Rham complex consisting of the minimal and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df40c133f9fe1870a2f1a4436e260d97
https://doi.org/10.1016/j.geomphys.2013.10.015
https://doi.org/10.1016/j.geomphys.2013.10.015
Autor:
Yoonweon Lee
Publikováno v:
Journal of Geometry and Physics. 59:1137-1149
In this paper we compute the relative zeta-determinants of Dirac Laplacians on a half-infinite cylinder when the Dirichlet boundary condition and the boundary condition belonging to the smooth, self-adjoint Grassmannian are imposed on the bottom of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25a59e65d00a29954f793dd509d902c2
https://doi.org/10.1016/j.geomphys.2009.05.002
https://doi.org/10.1016/j.geomphys.2009.05.002