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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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Visualizing the Cech cohomology of tiling spaces
by
Carl Olimb

Anderson and Putnam showed that tiling spaces are inverse limits of branched manifolds. The Cech cohomology then can be computed as the direct limit of the homomorphism induced by inflation and substitution on the cohomology of the complex. I will describe a modification of the Anderson Putnam complex for substitution tiling spaces that allows for easier computations and provides a means of identifying certain special features of the tiling space with particular elements of the cohomology.

Date received: February 28, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawy-21.