MATH 7590: Geometric Topology References

MATH 7590 Geometric Topology

Title	Author	Notes
Invitation to Topological Robotics	M. Farber	www.ems-ph.org/books/book.php?proj_nr=78
Morse Theory	J. Milnor	press.princeton.edu/titles/1569.html
An Invitation to Morse Theory	L. Nicolaescu	http://www.springer.com/mathematics/analysis/book/978-1-4614-1104-8
Topology of robot motion planning	M. Farber	www.springerlink.com/content/n103r43g77r262n4/

robot arm workspace if bars are not allowed to intersect - claimed by Forrest
bilinear forms, Sylvester's law of inertia - claimed by Chanun
the Poincaré homology sphere - claimed by Kyle
billiards (see, e.g., chapter 6 of Tabachnikov) - one aspect claimed by Jun, another by Mustafa
Hattori's theorem on general position arrangements - claimed by Derek
relative topological complexity - claimed by Danul
(collision free) motion planning on graphs - claimed by Kristen

Dan Cohen Spring 2012
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