Karen Vogtmann, 503 Malott Hall, vogtmann@math.cornell.edu, Phone: 255-6494.
One outcome of this course will be a set of notes covering the basic facts about the geometry of Outer space. Notes from each lecture will be produced by two students: a scribe who is principally responsible for producing the notes and the lecturer, who is responsible for editing them to correct errors and misstatements.
I will post PDF files of the lecture notes as they are available. Comments and corrections are very welcome; they should be sent to me, the lecturer and the scribe.
Here is a zipped folder of TeX, graphics and PDF files showing how to put graphics in TeX.
Here is the current state of the amalgamated file, as of Dec. 29, 2011. It still needs quite a bit of work. If you are interested in helping to improve the file, please contact me.
Lecture 1 (8/25 Outline of course - Karen/Camille)
Lecture 2 (8/30 Marked graph definition of Outer space - Karen/Margarita)
Lecture 3 (9/1 Trees in Outer space - Camille/Chenxi)
Lecture 4 (9/6 Contractibility of Outer space - Camille/Kristen)
Lecture 5 (9/13 Train tracks - Juan/Harry)
Lecture 6 (9/15 Train tracks - Juan/Vikas)
Lecture 7 (9/20 The Lipschitz Metric - Kristen/Yash)
Lecture 8 (9/22 Geodesics in the Lipschitz metric- ChenXi/Chor)
Lecture 9 (9/27 Geodesics and quasi-geodesics- ChenXi/Kristen)
Lecture 10intro (9/27 Axes and projections in Outer space - Margarita/Kristen)
Lecture 10 (9/29 Axes and projections in Outer space - Margarita/Vikas)
Lectures 11, 12, 13 (10/4, 10/6, 10/13 Proof that axes are strongly contracting Chor/Camille)
Lecture 14 (10/18 Asymmetry of Outer space -Andrew/Margarita)
Lecture 15 (10/20 Asymmetry of Outer space - Andrew/Harry)
Lecture 16 (10/25 Asymmetry of Outer space - Andrew/Juan)
Lecture 17 (10/27 Asymmetry of Outer space - Andrew/ )
Lecture 18 (11/1 Asymmetry of Outer space- Vikas/Margarita)
Lectures 19, 20, 21, 22 (11/3, 11/8, 11/10, 11/15 Train tracks and laminations in surfaces - Harry)
Lecture 23 (11/17 Laminations in graphs - Yash/Kristen)
Lecture 24 (11/22 Laminations in graphs - Yash/ChenXi)
Lecture 25 (11/29 The Bounded Cancellation Lemma - Yash/Vikas)
Lecture 26 (12/1 Existence of train tracks - ChenXi/Juan)