Geometry & Topology Volume 10, issue 2 (2006)

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ISSN (electronic): 1364-0380

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Euler structures, the variety of representations and the Milnor–Turaev torsion

Dan Burghelea and Stefan Haller

Geometry & Topology 10 (2006) 1185–1238

DOI: 10.2140/gt.2006.10.1185

Bibliography

1	M F Atiyah, V K Patodi, I M Singer, Spectral asymmetry and Riemannian geometry II, Math. Proc. Cambridge Philos. Soc. 78 (1975) 405 MR0397798
2	J M Bismut, W Zhang, An extension of a theorem by Cheeger and Müller, Astérisque (1992) 235 MR1185803
3	M Braverman, T Kappeler, Ray–Singer type theorem for the refined analytic torsion arXiv:math.GT/0603638
4	M Braverman, T Kappeler, Refined analytic torsion arXiv:math.DG/0505537
5	M Braverman, T Kappeler, Refined analytic torsion as an element of the determinant line arXiv:math.GT/0510532
6	M Braverman, T Kappeler, A refinement of the Ray–Singer torsion, C. R. Math. Acad. Sci. Paris 341 (2005) 497 MR2180817
7	D Burghelea, Removing metric anomalies from Ray–Singer torsion, Lett. Math. Phys. 47 (1999) 149 MR1682302
8	D Burghelea, L Friedlander, T Kappeler, Relative torsion, Commun. Contemp. Math. 3 (2001) 15 MR1820014
9	D Burghelea, S Haller, Complex valued Ray–Singer torsion arXiv:math.DG/0604484
10	D Burghelea, S Haller, Dynamics, Laplace transform and spectral geometry arXiv:math.DG/0508216
11	D Burghelea, S Haller, Torsion, as function on the space of representations arXiv:math.DG/0507587
12	S Dineen, Complex analysis in locally convex spaces, North-Holland Mathematics Studies 57, North-Holland Publishing Co. (1981) MR640093
13	J Eells Jr., A setting for global analysis, Bull. Amer. Math. Soc. 72 (1966) 751 MR0203742
14	M Farber, Absolute torsion and eta-invariant, Math. Z. 234 (2000) 339 MR1765885
15	M Farber, V Turaev, Poincaré–Reidemeister metric, Euler structures, and torsion, J. Reine Angew. Math. 520 (2000) 195 MR1748274
16	D Fried, Lefschetz formulas for flows, from: "The Lefschetz centennial conference, Part III (Mexico City, 1984)", Contemp. Math. 58, Amer. Math. Soc. (1987) 19 MR893856
17	P Griffiths, J Harris, Principles of algebraic geometry, Wiley-Interscience [John Wiley & Sons] (1978) MR507725
18	R Hartshorne, Algebraic geometry, Springer (1977) MR0463157
19	E Hille, R S Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications 31, American Mathematical Society (1957) MR0089373
20	F Kamber, P Tondeur, Flat bundles and characteristic classes of group-representations, Amer. J. Math. 89 (1967) 857 MR0220309
21	A Kriegl, P W Michor, The convenient setting of global analysis, Mathematical Surveys and Monographs 53, American Mathematical Society (1997) MR1471480
22	J Marcsik, Analytic torsion and closed one forms, PhD thesis, Ohio State University (1995)
23	V Mathai, D Quillen, Superconnections, Thom classes, and equivariant differential forms, Topology 25 (1986) 85 MR836726
24	J Milnor, Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966) 358 MR0196736
25	L I Nicolaescu, The Reidemeister torsion of 3–manifolds, de Gruyter Studies in Mathematics 30, Walter de Gruyter & Co. (2003) MR1968575
26	D Quillen, Determinants of Cauchy–Riemann operators on Riemann surfaces, Funktsional. Anal. i Prilozhen. 19 (1985) 37, 96 MR783704
27	J P Ramis, Sous-ensembles analytiques d'une variété banachique complexe, Springer (1970) MR0293126
28	D B Ray, I M Singer, $R$–torsion and the Laplacian on Riemannian manifolds, Advances in Math. 7 (1971) 145 MR0295381
29	N Steenrod, The topology of fibre bundles, Princeton Landmarks in Mathematics, Princeton University Press (1999) MR1688579
30	V G Turaev, Reidemeister torsion in knot theory, Uspekhi Mat. Nauk 41 (1986) 97, 240 MR832411
31	V G Turaev, Euler structures, nonsingular vector fields, and Reidemeister-type torsions, Izv. Akad. Nauk SSSR Ser. Mat. 53 (1989) 607, 672 MR1013714
32	V Turaev, Introduction to combinatorial torsions, Lectures in Mathematics ETH Zürich, Birkhäuser Verlag (2001) MR1809561
33	V Turaev, Torsions of 3–dimensional manifolds, Progress in Mathematics 208, Birkhäuser Verlag (2002) MR1958479
34	G W Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics 61, Springer (1978) MR516508