Algebraic & Geometric Topology Volume 12, issue 2 (2012)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

Geometric interpretation of simplicial formulas for the Chern–Simons invariant

Julien Marché

Algebraic & Geometric Topology 12 (2012) 805–827

DOI: 10.2140/agt.2012.12.805

Bibliography

1	S Baseilhac, R Benedetti, Classical and quantum dilogarithmic invariants of flat PSL(2, ℂ)–bundles over 3–manifolds, Geom. Topol. 9 (2005) 493 MR2140989
2	S S Chern, J Simons, Characteristic forms and geometric invariants, Ann. of Math. 99 (1974) 48 MR0353327
3	M Culler, Lifting representations to covering groups, Adv. in Math. 59 (1986) 64 MR825087
4	J L Dupont, The dilogarithm as a characteristic class for flat bundles, from: "Proceedings of the Northwestern conference on cohomology of groups (Evanston, Ill., 1985)" (1987) 137 MR885101
5	J L Dupont, C K Zickert, A dilogarithmic formula for the Cheeger–Chern–Simons class, Geom. Topol. 10 (2006) 1347 MR2255500
6	D S Freed, Classical Chern–Simons theory I, Adv. Math. 113 (1995) 237 MR1337109
7	W M Goldman, Topological components of spaces of representations, Invent. Math. 93 (1988) 557 MR952283
8	R M Kashaev, Coordinates for the moduli space of flat PSL(2, ℝ)–connections, Math. Res. Lett. 12 (2005) 23 MR2122727
9	P Kirk, E Klassen, Chern–Simons invariants of 3–manifolds decomposed along tori and the circle bundle over the representation space of T², Comm. Math. Phys. 153 (1993) 521 MR1218931
10	W D Neumann, Combinatorics of triangulations and the Chern–Simons invariant for hyperbolic 3–manifolds, from: "Topology ’90 (Columbus, OH, 1990)", Ohio State Univ. Math. Res. Inst. Publ. 1, de Gruyter (1992) 243 MR1184415
11	W D Neumann, Hilbert’s 3rd problem and invariants of 3–manifolds, from: "The Epstein birthday schrift", Geom. Topol. Monogr. 1, Geom. Topol. Publ., Coventry (1998) 383 MR1668316
12	W D Neumann, Extended Bloch group and the Cheeger–Chern–Simons class, Geom. Topol. 8 (2004) 413 MR2033484
13	E Witten, Quantum field theory and the Jones polynomial, Comm. Math. Phys. 121 (1989) 351 MR990772
14	T Yoshida, The η–invariant of hyperbolic 3–manifolds, Invent. Math. 81 (1985) 473 MR807069