Volume 4, issue 1 (2004)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 21
Issue 4, 1595–2140
Issue 3, 1075–1593
Issue 2, 543–1074
Issue 1, 1–541

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Combinatorial Miller–Morita–Mumford classes and Witten cycles

Kiyoshi Igusa

Algebraic & Geometric Topology 4 (2004) 473–520
Bibliography
1 E Arbarello, M Cornalba, Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves, J. Algebraic Geom. 5 (1996) 705 MR1486986
2 M Culler, K Vogtmann, Moduli of graphs and automorphisms of free groups, Invent. Math. 84 (1986) 91 MR830040
3 J L Harer, Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math. $(2)$ 121 (1985) 215 MR786348
4 K Igusa, Graph cohomology and Kontsevich cycles, Topology 43 (2004) 1469 MR2081433
5 K Igusa, The space of framed functions, Trans. Amer. Math. Soc. 301 (1987) 431 MR882699
6 K Igusa, A multiplication in cyclic homology, Trans. Amer. Math. Soc. 352 (2000) 209 MR1650093
7 K Igusa, Higher Franz–Reidemeister torsion, AMS/IP Studies in Advanced Mathematics 31, American Mathematical Society (2002) MR1945530
8 K Igusa, M Kleber, Increasing trees and Kontsevich cycles, Geom. Topol. 8 (2004) 969 MR2087075
9 K Igusa, J Klein, The Borel regulator map on pictures II: An example from Morse theory, $K$–Theory 7 (1993) 225 MR1244002
10 M Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Comm. Math. Phys. 147 (1992) 1 MR1171758
11 E Y Miller, The homology of the mapping class group, J. Differential Geom. 24 (1986) 1 MR857372
12 G Mondello, Combinatorial classes on $\overline{\mathcal{M}}_{g,n}$ are tautological, Int. Math. Res. Not. (2004) 2329 MR2078260
13 S Morita, Characteristic classes of surface bundles, Bull. Amer. Math. Soc. $($N.S.$)$ 11 (1984) 386 MR752805
14 S Morita, Characteristic classes of surface bundles, Invent. Math. 90 (1987) 551 MR914849
15 S Morita, Structure of the mapping class groups of surfaces: a survey and a prospect, from: "Proceedings of the Kirbyfest (Berkeley, CA, 1998)", Geom. Topol. Monogr. 2, Geom. Topol. Publ., Coventry (1999) 349 MR1734418
16 D Mumford, Towards an enumerative geometry of the moduli space of curves, from: "Arithmetic and geometry, Vol II", Progr. Math. 36, Birkhäuser (1983) 271 MR717614
17 R C Penner, The decorated Teichmüller space of punctured surfaces, Comm. Math. Phys. 113 (1987) 299 MR919235
18 R C Penner, The Poincaré dual of the Weil–Petersson Kähler two-form, from: "Perspectives in mathematical physics", Conf. Proc. Lecture Notes Math. Phys., III, Int. Press, Cambridge, MA (1994) 229 MR1314669
19 J D Stasheff, Homotopy associativity of $H$–spaces I, II, Trans. Amer. Math. Soc. 108 $(1963)$, 275-292; ibid. 108 (1963) 293 MR0158400
20 K Strebel, Quadratic differentials, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 5, Springer (1984) MR743423