The topology of Baues complexes and flip graphs
Name
1015201875-MIT.pdf
Description
Full printable version
Size
3.02 MB
Format
Adobe PDF
Checksum (MD5)
652464af6d0fa92c3f13d67be6faaf1d
Author(s)
Liu, Xue (Mathematician)
Advisor(s)
Alexander Postnikov.
Date Issued
2017
Publisher
Massachusetts Institute of Technology
Abstract
This thesis contains several results on the connectedness of Baues complexes and flip graphs, which are topological spaces modeling certain sets coming from geometric combinatorics. These sets include the triangulations of a polytope, the tilings of a zonotope, and the extensions of an oriented matroid. Some long-standing conjectures are resolved, including the connectedness of triangulations of a product of two simplices and the sphericity of extension spaces of realizable oriented matroids. This thesis covers the main construction which is common to these proofs, but defers the details specific to each problem to other papers.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2017.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 53-54).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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