Graph cohomology and Kontsevich cycles

Topology

Volumn 43, Issue 6, 2004, Pages 1469-1510

  Igusa, Kiyoshi ^a  

^a BRANDEIS UNIVERSITY   (United States)

Author keywords

Fat graphs; Graph cohomology; Mapping class group; Miller Morita Mumford classes; Ribbon graphs; Stasheff associahedra

Indexed keywords

EID: 4344696501     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.top.2004.03.004     Document Type: Article

References (20)

1. Arbarello E. Cornalba M. Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves J. Algebraic Geom. 5 1996 705-749
2. Boardman J.M. Vogt R.M. Homotopy Invariant Algebraic Structures on Topological Spaces Lecture Notes in Mathematics Vol. 347 1973 Springer Berlin
3. J. Conant, K. Vogtmann, On a theorem of Kontsevich, math.QA/0208169, 2002.
4. Culler M. Vogtmann K. Moduli of graphs and automorphisms of free groups Invent. Math. 84 1 1986 91-119
5. ∞-algebras and the cyclic bar construction Illinois J. Math. 34 1989 256-283
6. Harer J.L. Stability of the homology of the mapping class groups of orientable surfaces Ann. Math. (2) 121 2 1985 215-249
7. Hubbard J. Masur H. Quadratic differentials and foliations Acta Math. 142 1979 221-273
8. K. Igusa, Combinatorial Miller-Morita-Mumford classes and Witten cycles, math.GT/0207042, 2002.
9. Igusa K. Higher Franz-Reidemeister Torsion AMS/IP Studies in Advance Mathematics Vol. 31 2002 International Press Somerville, MA
10. K. Igusa, M. Kleber, Increasing trees and Kontsevich cycles, math.AT/0303353, 2003, preprint.
11. Kontsevich M. Intersection theory on the moduli space of curves and the matrix Airy function Commun. Math. Phys. 147 1 1992 1-23
12. M. Kontsevich, Formal (non)commutative symplectic geometry, The Gelfand Mathematical Seminars, 1990-1992, Birkhäuser, Boston, 1993, pp. 173-187.
13. M. Kontsevich, Feynman diagrams and low-dimensional topology, First European Congress of Mathematics, Vol. II (Paris, 1992), Birkhäuser, Basel, 1994, pp. 97-121.
14. Miller E.Y. The homology of the mapping class group J. Differential Geom. 24 1 1986 1-14
15. G. Mondello, Combinatorial classes on the moduli space of curves are tautological, math.AT/0303207, 2003.
16. Morita S. Characteristic classes of surface bundles Invent. Math. 90 3 1987 551-577
17. Morita S. Geometry of Characteristic Classes Translations of Mathematical Monographs Vol. 199 2001 American Mathematical Society Providence, RI
18. Penner R.C. The decorated Teichmüller space of punctured surfaces Commun. Math. Phys. 113 2 1987 299-339
19. Stasheff J.D. Homotopy associativity of H-spaces I, II Trans. AMS 108 1963 275-312
20. Strebel K. Quadratic Differentials 1984 Springer Berlin