| 1 |
M F Atiyah,
V K Patodi, I M Singer, Spectral
asymmetry and Riemannian geometry. I, Math. Proc. Cambridge
Philos. Soc. 77 (1975) 43–69 MR0397797 |
| 2 |
M F Atiyah,
V K Patodi, I M Singer, Spectral
asymmetry and Riemannian geometry. II, Math. Proc.
Cambridge Philos. Soc. 78 (1975) 405–432 MR0397798 |
| 3 |
N Berline, E
Getzler, M Vergne, Heat kernels and Dirac
operators, Grundlehren der Mathematischen Wissenschaften,
Springer (1992) MR1215720 |
| 4 |
J M Bismut, W
Zhang, An extension of a theorem by Cheeger and
Müller, Astérisque (1992) MR1185803
With an appendix by François Laudenbach. |
| 5 |
M Braverman, T
Kappeler, A refinement of
the Ray–Singer torsion, C. R. Math. Acad. Sci.
Paris 341 (2005) 497–502 MR2180817 |
| 6 |
M Braverman, T
Kappeler, Comparison of the refined analytic and the
Burghelea–Haller torsions (2006) arXiv:math.DG/0606398 |
| 7 |
M Braverman, T
Kappeler, Refined analytic torsion as an element of the
determinant line, IHES preprint M/05/49 (2006) arXiv:math.GT/0510532 |
| 8 |
M Braverman, T
Kappeler, Ray–Singer type theorem for the refined
analytic torsion, J. Funct. Anal. 243 (2007) 232–256
arXiv:math.DG/0603638 |
| 9 |
M Braverman, T
Kappeler, Refined Analytic Torsion, J. Diff. Geom.
(to appear) arXiv:math.DG/0505537 |
| 10 |
J Brüning, M
Lesch, On
the η–invariant of certain nonlocal boundary value
problems, Duke Math. J. 96 (1999) 425–468
MR1666570 |
| 11 |
D Burghelea, L
Friedlander, T Kappeler, Asymptotic expansion
of the Witten deformation of the analytic torsion, J.
Funct. Anal. 137 (1996) 320–363 MR1387514 |
| 12 |
D Burghelea, S
Haller, Torsion as a function of the space of
representations (2005) arXiv:math.DG/0507587 |
| 13 |
D Burghelea, S
Haller, Complex valued Ray–Singer torsion II
(2006) arXiv:math.DG/0610875 |
| 14 |
D Burghelea, S
Haller, Euler structures,
the variety of representations and the Milnor–Turaev
torsion, Geom. Topol. 10 (2006) 1185–1238
MR2255496 |
| 15 |
P Deligne, Le
déterminant de la cohomologie, from: "Current trends
in arithmetical algebraic geometry (Arcata, Calif., 1985)",
Contemp. Math. 67, Amer. Math. Soc. (1987) 93–177
MR902592 |
| 16 |
M Farber, Absolute torsion and
eta-invariant, Math. Z. 234 (2000) 339–349
MR1765885 |
| 17 |
M Farber, V
Turaev, Absolute torsion, from: "Tel Aviv Topology
Conference: Rothenberg Festschrift (1998)", Contemp. Math. 231,
Amer. Math. Soc. (1999) 73–85 MR1705576 |
| 18 |
M Farber, V
Turaev, Poincaré–Reidemeister
metric, Euler structures, and torsion, J. Reine Angew.
Math. 520 (2000) 195–225 MR1748274 |
| 19 |
P B Gilkey,
The eta invariant and secondary characteristic classes of
locally flat bundles, from: "Algebraic and differential
topology – global differential geometry",
Teubner–Texte Math. 70, Teubner (1984) 49–87
MR792686 |
| 20 |
G Grubb, R T
Seeley, Weakly parametric
pseudodifferential operators and
Atiyah–Patodi–Singer boundary problems,
Invent. Math. 121 (1995) 481–529 MR1353307 |
| 21 |
V Guillemin, A new
proof of Weyl's formula on the asymptotic distribution of
eigenvalues, Adv. in Math. 55 (1985) 131–160 MR772612 |
| 22 |
R T Huang,
Refined analytic torsion and the eta-invariant, PhD
thesis (in preparation) |
| 23 |
R T Huang,
Refined analytic torsion: comparison theorems and
examples, Illinois J. Math. (to appear) arXiv:math.DG/0602231 |
| 24 |
A S Markus,
Introduction to the spectral theory of polynomial operator
pencils, Translations of Mathematical Monographs 71,
American Mathematical Society (1988) Translated from the
Russian by H H McFaden. Translation edited by B Silver. With an
appendix by M V Keldysh. |
| 25 |
J Milnor, Whitehead
torsion, Bull. Amer. Math. Soc. 72 (1966) 358–426
MR0196736 |
| 26 |
L I Nicolaescu,
The Reidemeister torsion of 3-manifolds, de Gruyter
Studies in Mathematics 30, Walter de Gruyter & Co. (2003)
MR1968575 |
| 27 |
R Ponge, Spectral
asymmetry, zeta Functions and the noncommutative residue,
Int. Math. J. (to appear) arXiv:math.DG/0310102 |
| 28 |
D Quillen,
Determinants of Cauchy–Riemann operators on Riemann
surfaces, Funktsional. Anal. i Prilozhen. 19 (1985)
37–41 |
| 29 |
D B Ray,
I M Singer, R–torsion and the Laplacian on
Riemannian manifolds, Advances in Math. 7 (1971)
145–210 MR0295381 |
| 30 |
Y B Rudyak, On
Thom spectra, orientability and cobordism, Springer
Monographs in Mathematics, Springer (1998) MR1627486
With a foreword by Haynes Miller |
| 31 |
R T Seeley,
Complex powers of an elliptic operator, from: "Singular
Integrals (Proc. Sympos. Pure Math., Chicago, Ill., 1966)",
Amer. Math. Soc. (1967) 288–307 MR0237943 |
| 32 |
M A Shubin,
Pseudodifferential operators and spectral theory,
Springer (2001) MR1852334
Translated from the 1978 Russian original by Stig I.
Andersson |
| 33 |
I M Singer,
Families of Dirac operators with applications to
physics, Astérisque (1985) 323–340 MR837207
The mathematical heritage of Élie Cartan (Lyon, 1984) |
| 34 |
G Su, W Zhang,
A Cheeger–Mueller theorem for symmetric bilinear
torsions, arXiv:math.DG/0610577 |
| 35 |
V G Turaev,
Reidemeister torsion in knot theory, Uspekhi Mat. Nauk
41 (1986) 97–147 MR832411 |
| 36 |
V G Turaev,
Euler structures, nonsingular vector fields, and
Reidemeister-type torsions, Izv. Akad. Nauk SSSR Ser. Mat.
53 (1989) 607–643 MR1013714 |
| 37 |
V Turaev,
Introduction to combinatorial torsions, Lectures in
Mathematics ETH Zürich, Birkhäuser Verlag (2001)
MR1809561
Notes taken by Felix Schlenk |
| 38 |
C T C Wall,
Determination of the cobordism ring, Ann. of Math. (2)
72 (1960) 292–311 MR0120654 |
| 39 |
M Wodzicki,
Local
invariants of spectral asymmetry, Invent. Math. 75
(1984) 143–177 MR728144 |
| 40 |
M Wodzicki,
Noncommutative residue. I. Fundamentals, from:
"K–theory, arithmetic and geometry (Moscow,
1984–1986)", Lecture Notes in Math., Springer (1987)
320–399 |
| 41 |
K P
Wojciechowski, Heat equation and spectral geometry.
Introduction for beginners, from: "Geometric methods for
quantum field theory (Villa de Leyva, 1999)", World Sci. Publ.,
River Edge, NJ (2001) 238–292 MR1867735 |
