The $q=-1$ phenomenon for bounded (plane) partitions via homology concentration

The $q=-1$ phenomenon for bounded (plane) partitions via homology concentration

Algebraic complexes whose "faces'' are indexed by partitions and plane partitions are introduced, and their homology is proven to be concentrated in even dimensions with homology basis indexed by fixed points of an involution, thereby explaining topologically two quite important insta...

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Bibliographic Details
Main Authors: P. Hersh, J. Shareshian, D. Stanton
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2009-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
plane partitions
discrete morse theory
$q=-1$ phenomenon
homology basis
down operator
[math.math-co] mathematics [math]/combinatorics [math.co]
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Online Access:https://dmtcs.episciences.org/2716/pdf

Internet

https://dmtcs.episciences.org/2716/pdf

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