Recent Issues
Volume 29, 2 issues
Volume 29
Issue 2, 549–862
Issue 1, 1–548
Volume 28, 9 issues
Volume 28
Issue 9, 3973–4381
Issue 8, 3511–3972
Issue 7, 3001–3510
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496
Volume 27, 9 issues
Volume 27
Issue 9, 3387–3831
Issue 8, 2937–3385
Issue 7, 2497–2936
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415
Volume 26, 8 issues
Volume 26
Issue 8, 3307–3833
Issue 7, 2855–3306
Issue 6, 2405–2853
Issue 5, 1907–2404
Issue 4, 1435–1905
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476
Volume 25, 7 issues
Volume 25
Issue 7, 3257–3753
Issue 6, 2713–3256
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546
Volume 24, 7 issues
Volume 24
Issue 7, 3219–3748
Issue 6, 2675–3218
Issue 5, 2149–2674
Issue 4, 1615–2148
Issue 3, 1075–1614
Issue 2, 533–1073
Issue 1, 1–532
Volume 23, 7 issues
Volume 23
Issue 7, 3233–3749
Issue 6, 2701–3231
Issue 5, 2165–2700
Issue 4, 1621–2164
Issue 3, 1085–1619
Issue 2, 541–1084
Issue 1, 1–540
Volume 22, 7 issues
Volume 22
Issue 7, 3761–4380
Issue 6, 3145–3760
Issue 5, 2511–3144
Issue 4, 1893–2510
Issue 3, 1267–1891
Issue 2, 645–1266
Issue 1, 1–644
Volume 21, 6 issues
Volume 21
Issue 6, 3191–3810
Issue 5, 2557–3190
Issue 4, 1931–2555
Issue 3, 1285–1930
Issue 2, 647–1283
Issue 1, 1–645
Volume 20, 6 issues
Volume 20
Issue 6, 3057–3673
Issue 5, 2439–3056
Issue 4, 1807–2438
Issue 3, 1257–1806
Issue 2, 629–1255
Issue 1, 1–627
Volume 19, 6 issues
Volume 19
Issue 6, 3031–3656
Issue 5, 2407–3030
Issue 4, 1777–2406
Issue 3, 1155–1775
Issue 2, 525–1154
Issue 1, 1–523
Volume 18, 5 issues
Volume 18
Issue 5, 2487–3110
Issue 4, 1865–2486
Issue 3, 1245–1863
Issue 2, 617–1244
Issue 1, 1–616
Volume 17, 5 issues
Volume 17
Issue 5, 2513–3134
Issue 4, 1877–2512
Issue 3, 1253–1876
Issue 2, 621–1252
Issue 1, 1–620
Volume 16, 4 issues
Volume 16
Issue 4, 1881–2516
Issue 3, 1247–1880
Issue 2, 625–1246
Issue 1, 1–624
Volume 15, 4 issues
Volume 15
Issue 4, 1843–2457
Issue 3, 1225–1842
Issue 2, 609–1224
Issue 1, 1–607
Volume 14, 5 issues
Volume 14
Issue 5, 2497–3000
Issue 4, 1871–2496
Issue 3, 1243–1870
Issue 2, 627–1242
Issue 1, 1–626
Volume 13, 5 issues
Volume 13
Issue 5, 2427–3054
Issue 4, 1835–2425
Issue 3, 1229–1833
Issue 2, 623–1227
Issue 1, 1–621
Volume 12, 5 issues
Volume 12
Issue 5, 2517–2855
Issue 4, 1883–2515
Issue 3, 1265–1882
Issue 2, 639–1263
Issue 1, 1–637
Volume 11, 4 issues
Volume 11
Issue 4, 1855–2440
Issue 3, 1255–1854
Issue 2, 643–1254
Issue 1, 1–642
Volume 10, 4 issues
Volume 10
Issue 4, 1855–2504
Issue 3, 1239–1853
Issue 2, 619–1238
Issue 1, 1–617
Volume 9, 4 issues
Volume 9
Issue 4, 1775–2415
Issue 3, 1187–1774
Issue 2, 571–1185
Issue 1, 1–569
Volume 8, 3 issues
Volume 8
Issue 3, 1013–1499
Issue 2, 511–1012
Issue 1, 1–509
Volume 7, 2 issues
Volume 7
Issue 2, 569–1073
Issue 1, 1–568
Volume 6, 2 issues
Volume 6
Issue 2, 495–990
Issue 1, 1–494
Volume 5, 2 issues
Volume 5
Issue 2, 441–945
Issue 1, 1–440
Volume 4, 1 issue
Volume 3, 1 issue
Volume 2, 1 issue
Volume 1, 1 issue
1
S Agmon , On the
eigenfunctions and on the eigenvalues of general elliptic
boundary value problems , Comm. Pure Appl. Math. 15
(1962) 119 MR0147774
2
M F Atiyah ,
V K Patodi , I M Singer , Spectral
asymmetry and Riemannian geometry. I , Math. Proc.
Cambridge Philos. Soc. 77 (1975) 43 MR0397797
3
N Berline , E
Getzler , M Vergne , Heat kernels and Dirac
operators , Grund. der Math. Wissenschaften 298, Springer
(1992) MR1215720
4
B Booß-Bavnbek , M
Lesch , C Zhu , The Calderon projection: new
definition and applications arXiv:0803.4160
5
M Braverman , T
Kappeler , Comparison
of the refined analytic and the Burghelea–Haller
torsions , Ann. Inst. Fourier (Grenoble) 57 (2007) 2361
MR2394545
6
M Braverman , T
Kappeler , Refined analytic
torsion as an element of the determinant line , Geom.
Topol. 11 (2007) 139 MR2302591
7
M Braverman , T
Kappeler , A canonical quadratic
form on the determinant line of a flat vector bundle ,
Int. Math. Res. Not. (2008) MR2428856
8
M Braverman , T
Kappeler , Refined
analytic torsion , J. Differential Geom. 78 (2008) 193
MR2394022
9
J Brüning , M
Lesch , Hilbert
complexes , J. Funct. Anal. 108 (1992) 88 MR1174159
10
J Brüning , M
Lesch ,
Kähler–Hodge theory for conformal complex cones , Geom.
Funct. Anal. 3 (1993) 439 MR1233862
11
D Burghelea , L
Friedlander , T Kappeler , Meyer–Vietoris
type formula for determinants of elliptic differential
operators , J. Funct. Anal. 107 (1992) 34 MR1165865
12
D Burghelea , S
Haller , Complex-valued
Ray–Singer torsion , J. Funct. Anal. 248 (2007) 27
MR2329682
13
D Burghelea , S
Haller , Complex-valued Ray–Singer torsion II
arXiv:math/0610875
14
J Cheeger ,
Spectral geometry of singular Riemannian spaces , J.
Differential Geom. 18 (1983) MR730920
15
M Farber , Combinatorial
invariants computing the Ray–Singer analytic torsion ,
Differential Geom. Appl. 6 (1996) 351 MR1422341
16
M Farber , V
Turaev , Poincaré–Reidemeister
metric, Euler structures, and torsion , J. Reine Angew.
Math. 520 (2000) 195 MR1748274
17
P B Gilkey ,
Invariance theory, the heat equation, and the Atiyah–Singer
index theorem , Studies in Advanced Math., CRC Press (1995)
MR1396308
18
P B Gilkey , L
Smith , The eta invariant
for a class of elliptic boundary value problems , Comm.
Pure Appl. Math. 36 (1983) 85 MR680084
19
P B Gilkey , L
Smith , The
twisted index problem for manifolds with boundary , J.
Differential Geom. 18 (1983) 393 MR723812
20
R T Huang ,
Refined analytic torsion: comparison theorems and
examples , Illinois J. Math. 51 (2007) 1309 MR2417429
21
T Kato ,
Perturbation theory for linear operators , Grund. der
Math. Wissenschaften 132, Springer (1976) MR0407617
22
F F Knudsen , D
Mumford , The projectivity of the moduli space of stable
curves. I. Preliminaries on “det” and “Div” , Math. Scand.
39 (1976) 19 MR0437541
23
W Lück , Analytic
and topological torsion for manifolds with boundary and
symmetry , J. Differential Geom. 37 (1993) 263 MR1205447
24
W Müller , Analytic torsion and
$R$–torsion for unimodular representations , J. Amer.
Math. Soc. 6 (1993) 721 MR1189689
25
L Paquet , Problèmes
mixtes pour le système de Maxwell , Ann. Fac. Sci.
Toulouse Math. $(5)$ 4 (1982) 103 MR687546
26
D B Ray ,
I M Singer , $R$–torsion
and the Laplacian on Riemannian manifolds , Advances in
Math. 7 (1971) 145 MR0295381
27
R Seeley , Analytic extension of the
trace associated with elliptic boundary problems , Amer.
J. Math. 91 (1969) 963 MR0265968
28
R Seeley , The resolvent of an
elliptic boundary problem , Amer. J. Math. 91 (1969) 889
MR0265764
29
G Su , W Zhang ,
A
Cheeger–Müller theorem for symmetric bilinear torsions ,
Chin. Ann. Math. Ser. B 29 (2008) 385 MR2429629
30
V Turaev , Euler
structures, nonsingular vector fields, and Reidemeister-type
torsions , Izv. Akad. Nauk SSSR Ser. Mat. 53 (1989) 607, 672
MR1013714
31
V Turaev , Torsion
invariants of $\mathrm{Spin}^c$–structures on
$3$–manifolds , Math. Res. Lett. 4 (1997) 679 MR1484699
32
B Vertman , Gluing
formula for refined analytic torsion arXiv:0808.0451
33
S M Vishik ,
Generalized
Ray–Singer conjecture. I. A manifold with a smooth
boundary , Comm. Math. Phys. 167 (1995) 1 MR1316501