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1
M F Atiyah ,
The geometry and physics of knots , from: "Miniconference
on Geometry and Physics (Canberra, 1989)", Proc. Centre Math.
Anal. Austral. Nat. Univ. 22, Austral. Nat. Univ. (1989) 1
MR1027859
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
M F Atiyah ,
V K Patodi , I M Singer , Spectral
asymmetry and Riemannian geometry II , Math. Proc. Cambridge
Philos. Soc. 78 (1975) 405 MR0397798
4
M F Atiyah ,
V K Patodi , I M Singer , Spectral
asymmetry and Riemannian geometry III , Math. Proc.
Cambridge Philos. Soc. 79 (1976) 71 MR0397799
5
N Berline , E
Getzler , M Vergne , Heat kernels and Dirac
operators , Grundlehren der Mathematischen Wissenschaften
298, Springer (1992) MR1215720
6
J M Bismut ,
D S Freed , The
analysis of elliptic families I: Metrics and connections on
determinant bundles , Comm. Math. Phys. 106 (1986) 159
MR853982
7
H U Boden ,
C M Herald , P A Kirk , E P
Klassen , Gauge theoretic
invariants of Dehn surgeries on knots , Geom. Topol. 5
(2001) 143 MR1825661
8
B Booss-Bavnbek , M
Lesch , J Phillips ,
Unbounded Fredholm operators and spectral flow , Canad.
J. Math. 57 (2005) 225 MR2124916
9
B Booß-Bavnbek ,
K P Wojciechowski , Elliptic boundary problems
for Dirac operators , Mathematics: Theory &
Applications, Birkhäuser (1993) MR1233386
10
U Bunke , On
the gluing problem for the $\eta$–invariant , J.
Differential Geom. 41 (1995) 397 MR1331973
11
S E Cappell , R
Lee , E Y Miller , On the Maslov
index , Comm. Pure Appl. Math. 47 (1994) 121 MR1263126
12
S E Cappell ,
A splitting
theorem for manifolds , Invent. Math. 33 (1976) 69
MR0438359
13
X Dai , D S
Freed , $\eta$–invariants and
determinant lines , J. Math. Phys. 35 (1994) 5155
MR1295462
14
M S Farber ,
J P Levine , Jumps of the
eta-invariant , Math. Z. 223 (1996) 197 MR1417429
15
B Fine , P Kirk ,
E Klassen , A local analytic
splitting of the holonomy map on flat connections ,
Math. Ann. 299 (1994) 171 MR1273082
16
P B Gilkey ,
Invariance theory, the heat equation, and the Atiyah–Singer
index theorem , Studies in Advanced Mathematics, CRC Press
(1995) MR1396308
17
J Hempel ,
3–Manifolds , Ann. of Math. Studies 86, Princeton
University Press (1976) MR0415619
18
T Kato ,
Perturbation theory for linear operators , Grundlehren
der Mathematischen Wissenschaften 132, Springer (1976) MR0407617
19
P A Kirk ,
E P Klassen , Chern–Simons invariants
of 3–manifolds and representation spaces of knot
groups , Math. Ann. 287 (1990) 343 MR1054574
20
P A Kirk ,
E P Klassen , Representation
spaces of Seifert fibered homology spheres , Topology 30
(1991) 77 MR1081935
21
P Kirk , E
Klassen , D Ruberman , Splitting the spectral
flow and the Alexander matrix , Comment. Math. Helv. 69
(1994) 375 MR1289334
22
P Kirk , E
Klassen , Analytic deformations of the spectrum of a
family of Dirac operators on an odd-dimensional manifold with
boundary , Mem. Amer. Math. Soc. 124 (1996) MR1355034
23
P A Kirk ,
E P Klassen , The spectral flow
of the odd signature operator and higher Massey
products , Math. Proc. Cambridge Philos. Soc. 121 (1997)
297 MR1426525
24
P Kirk , E
Klassen , The
first-order spectral flow of the odd signature operator on a
manifold with boundary , Topology Appl. 116 (2001) 199
MR1855963
25
P Kirk , E
Klassen , Computing
spectral flow via cup products , J. Differential Geom.
40 (1994) 505 MR1305980
26
P Kirk , M
Lesch , The $\eta$–invariant,
Maslov index, and spectral flow for Dirac-type operators on
manifolds with boundary , Forum Math. 16 (2004) 553
MR2044028
27
E P Klassen ,
Representations
of knot groups in $\mathrm{SU}(2)$ , Trans. Amer. Math.
Soc. 326 (1991) 795 MR1008696
28
H B Lawson Jr. ,
M L Michelsohn , Spin geometry , Princeton
Mathematical Series 38, Princeton University Press (1989)
MR1031992
29
M Lesch , K P
Wojciechowski , On the $\eta$–invariant of generalized
Atiyah–Patodi–Singer boundary value problems , Illinois J.
Math. 40 (1996) 30 MR1386311
30
C Livingston , Knot
theory , Carus Mathematical Monographs 24, Mathematical
Association of America (1993) MR1253070
31
W D Neumann ,
Homotopy invariance of Atiyah invariants , from:
"Algebraic and geometric topology (Proc. Sympos. Pure Math.,
Stanford Univ., Stanford, Calif., 1976), Part 2", Proc. Sympos.
Pure Math., XXXII, Amer. Math. Soc. (1978) 181 MR520534
32
D Kvillen ,
Determinants of Cauchy–Riemann operators on Riemann
surfaces , Funktsional. Anal. i Prilozhen. 19 (1985) 37, 96
MR783704
33
T R Ramadas ,
I M Singer , J Weitsman , Some
comments on Chern–Simons gauge theory , Comm. Math.
Phys. 126 (1989) 409 MR1027504
34
D Rolfsen , Knots
and links , Mathematics Lecture Series 7, Publish or Perish
(1976) MR0515288
35
F Waldhausen ,
On irreducible
3–manifolds which are sufficiently large , Ann. of Math.
$(2)$ 87 (1968) 56 MR0224099
36
C T C Wall ,
Non-additivity of the
signature , Invent. Math. 7 (1969) 269 MR0246311
37
C T C Wall ,
Surgery on compact manifolds , Mathematical Surveys and
Monographs 69, American Mathematical Society (1999) MR1687388
38
S Weinberger ,
Homotopy invariance of $\eta$–invariants , Proc. Nat.
Acad. Sci. U.S.A. 85 (1988) 5362 MR952817