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Loya, Paul 1 ; Park, Jinsung 2
@article{ERAAMS_2005_11_a0, author = {Loya, Paul and Park, Jinsung}, title = {On gluing formulas for the spectral invariants of {Dirac} type operators}, journal = {Electronic research announcements of the American Mathematical Society}, pages = {1--11}, publisher = {mathdoc}, volume = {11}, year = {2005}, doi = {10.1090/S1079-6762-05-00141-1}, url = {http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-05-00141-1/} }
TY - JOUR AU - Loya, Paul AU - Park, Jinsung TI - On gluing formulas for the spectral invariants of Dirac type operators JO - Electronic research announcements of the American Mathematical Society PY - 2005 SP - 1 EP - 11 VL - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-05-00141-1/ DO - 10.1090/S1079-6762-05-00141-1 ID - ERAAMS_2005_11_a0 ER -
%0 Journal Article %A Loya, Paul %A Park, Jinsung %T On gluing formulas for the spectral invariants of Dirac type operators %J Electronic research announcements of the American Mathematical Society %D 2005 %P 1-11 %V 11 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-05-00141-1/ %R 10.1090/S1079-6762-05-00141-1 %F ERAAMS_2005_11_a0
Loya, Paul; Park, Jinsung. On gluing formulas for the spectral invariants of Dirac type operators. Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 1-11. doi : 10.1090/S1079-6762-05-00141-1. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-05-00141-1/
[1] Spectral asymmetry and Riemannian geometry. I Math. Proc. Cambridge Philos. Soc. 1975 43 69
, ,[2] Spectral invariants of operators of Dirac type on partitioned manifolds 2004 1 130
,[3] On the 𝜂-invariant of certain nonlocal boundary value problems Duke Math. J. 1999 425 468
,[4] Fonctions zêta et êta en présence de spectre continu C. R. Acad. Sci. Paris Sér. I Math. 1996 475 480
[5] On the gluing problem for the 𝜂-invariant J. Differential Geom. 1995 397 448
[6] Meyer-Vietoris type formula for determinants of elliptic differential operators J. Funct. Anal. 1992 34 65
, ,[7] Boundary value problems for elliptic equations 1963 303 304
[8] Déterminant relatif et la fonction Xi Amer. J. Math. 2002 307 352
[9] 𝜂-invariants and determinant lines J. Math. Phys. 1994 5155 5194
,[10] Functional determinants and geometry Invent. Math. 1987 447 493
[11] Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems Ark. Mat. 1999 45 86
[12] Poles of zeta and eta functions for perturbations of the Atiyah-Patodi-Singer problem Comm. Math. Phys. 2001 583 589
[13] Spectral boundary conditions for generalizations of Laplace and Dirac operators Comm. Math. Phys. 2003 243 280
[14] Analytic surgery and analytic torsion Comm. Anal. Geom. 1998 255 289
[15] Determinants of Laplacians in exterior domains Internat. Math. Res. Notices 1999 971 1004
,[16] Analytic surgery and the accumulation of eigenvalues Comm. Anal. Geom. 1995 115 222
, ,[17] A signature formula for manifolds with corners of codimension two Topology 1997 1055 1075
, ,[18] The 𝜂-invariant, Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary Forum Math. 2004 553 629
,[19] 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 Trans. Amer. Math. Soc. 2003 4093 4110
[20] On the 𝜂-invariant of generalized Atiyah-Patodi-Singer boundary value problems Illinois J. Math. 1996 30 46
,[21] The 𝜁-determinant of generalized APS boundary problems over the cylinder J. Phys. A 2004 7381 7392
,[22] Analytic surgery and the eta invariant Geom. Funct. Anal. 1995 14 75
,[23] Dirac operators, heat kernels and microlocal analysis. II. Analytic surgery Rend. Mat. Appl. (7) 1998 221 288
,[24] The Atiyah-Patodi-Singer index theorem 1993
[25] Eta invariants and manifolds with boundary J. Differential Geom. 1994 311 377
[26] On the 𝐿²-index of Dirac operators on manifolds with corners of codimension two. I J. Differential Geom. 1996 97 177
[27] Relative zeta functions, relative determinants and scattering theory Comm. Math. Phys. 1998 309 347
[28] Scattering theory and adiabatic decomposition of the 𝜁-determinant of the Dirac Laplacian Math. Res. Lett. 2002 17 25
,[29] 𝑅-torsion and the Laplacian on Riemannian manifolds Advances in Math. 1971 145 210
,[30] Zeta determinants on manifolds with boundary J. Funct. Anal. 2002 112 185
[31] The 𝜁-determinant and Quillen determinant for a Dirac operator on a manifold with boundary Geom. Funct. Anal. 2000 1202 1236
,[32] Topics in pseudo-differential operators 1969 167 305
[33] The 𝜂-invariant and the index 1987 239 258
[34] Families of Dirac operators with applications to physics Astérisque 1985 323 340
[35] Generalized Ray-Singer conjecture. I. A manifold with a smooth boundary Comm. Math. Phys. 1995 1 102
[36] The additivity of the 𝜂-invariant. The case of a singular tangential operator Comm. Math. Phys. 1995 315 327
[37] The 𝜁-determinant and the additivity of the 𝜂-invariant on the smooth, self-adjoint Grassmannian Comm. Math. Phys. 1999 423 444
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