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FORBIDDEN PARTITION CONFIGURATION SPACES OF GRAPHS

Part of: Homology and cohomology theories Fiber spaces and bundles

Published online by Cambridge University Press:  12 February 2025

JAMES DOVER Open the ORCID record for JAMES DOVER [Opens in a new window]
JAMES DOVER*
Affiliation:
Department of Mathematics, University of North Georgia, 82 College Circle, Dahlonega, GA 30597, USA
*
e-mail: james.dover@ung.edu
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Abstract

We propose a generalised version of configuration spaces defined by disallowing combinations of simultaneous collisions among the n points determined by a family of forbidden partitions. In the case where the underlying space is a finite graph, we construct a cubical complex with the same homology as this configuration space.

Keywords

configuration spacescell complexesdiscrete Morse theoryMayer–Vietoris spectral sequence

MSC classification

Primary: 55R80: Discriminantal varieties, configuration spaces
Secondary: 55N99: None of the above, but in this section
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , First View , pp. 1 - 14
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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