Advanced search
Publication Cover
Experimental Mathematics Volume 17, 2008 - Issue 2
Submit an article Journal homepage
33
Views
5
CrossRef citations to date
0
Altmetric
Original Article

The Rational Homology Group of Out(Fn) for n ≤ 6

Ryo Ohashi Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
Pages 167-179 | Published online: 30 Jan 2011

  • J. Conant and K. Vogtmann. "On a Theorem of Kontsevich." Alg. Geom. Topology 3 (2003), 1167–1224.
  • J. Conant and K. Vogtmann. "Morita Classes in the Homology of Automorphism Groups of Free Groups." Geometry and Topology 8 (2004), 1471-1499.
  • J. Conant and K. Vogtmann. "Morita Classes in the Homology of Aut(Fn) Vanish after One Stabilization. Preprint, 2006.
  • M. Culler and K. Vogtmann. "Moduli of Graphs and Automorphisms of Free Groups." Invent. Math. 84 (1986), 91–119.
  • S. Galatius. "Stable Homology of Automorphism Groups of Free Groups." Preprint, 2006.
  • F. Gerlits. "Invariants in Chain Complexes of Graphs." PhD thesis, Cornell University, 2002.
  • A. Hatcher. "Homological Stability for Automorphism Groups of Free Groups." Comment. Math. Helv. 70 (1995), 129–137.
  • A. Hatcher and K. Vogtmann. "Rational Homology of Aut(Fn)." Math. Res. Letters 5 (1998), 759–780.
  • A. Hatcher and K. Vogtmann "Homology Stability for Outer Automorphism Groups of Free Groups." Alg. Geom. Topology 4 (2004), 1253–1272.
  • A. Hatcher, K. Vogtmann, and N. Wahl. "Erratum to 'Homology Stability for Outer Automorphism Groups of Free Groups.' " Alg. Geom. Topology 6 (2006), 573–579.
  • M. Kontsevich. "Formal (Non-)commutative Symplectic Geometry." In The Gelfand Mathematical Seminars 1990–1992, pp. 173–188. Cambridge: Birkhäuser, 1993.
  • M. Kontsevich "Feynman Diagrams and Low-Dimensional Topology." In Proceedings of the First European Congress of Mathematicians, Vol. II, Paris 1992, pp. 97–121. Progress in Math. 120. Cambridge: Birkhäuser, 1994.
  • S. Morita. "Abelian Quotients of Subgroups of the Mapping Class Group of Surfaces." Duke Math. J. 70:3 (1993), 699–726.
  • S. Morita. "Structure of the Mapping Class Groups of Surfaces: A Survey and a Prospect." In Proceedings of the Kirbyfest, Geometry and Topology Monographs 2, pp. 349–406. Coventry, UK: Geom. Topol. Publ., 1999.
  • S. Morita. "Cohomological Structure of the Mapping Class Group and Beyond." In Problems on Mapping Class Groups and Related Topics, edited by Benson Farb, pp. 329-354, Proc. Sympos. Pure Math. 74. Providence: American Mathematical Society, 2006.
  • R. Ohashi "Some Results on the Rational Homology of Out(Fn)." Master's thesis, 2005.
  • K. Vogtmann. "Local Structure of Some Out(Fn)-Complexes." Proc. of the Edinburgh Math. Soc. 33 (1990), 367–379.
  • K. Vogtmann. "Automorphisms of Free Groups and Outer Space." Geometricae Dedicata 94 (2002), 1–31.
  • K. Vogtmann. "The Cohomology of Automorphism Groups of Free Groups." In Proc. International Congress of Mathematicians, 2006, Madrid, Vol II, pp. 1101–1117. Zürich: EMS, 2006.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.