Equivariant Euler characteristics of partition posets
Jesper M. Moller
TL;DR
This paper calculates the equivariant Euler characteristics of the partition poset under the symmetric group action, providing comprehensive algebraic topological insights into the structure of partition lattices.
Contribution
It introduces explicit computations of all equivariant Euler characteristics for the symmetric group acting on partition posets, a novel contribution in algebraic combinatorics.
Findings
Explicit formulas for equivariant Euler characteristics
Complete characterization of symmetric group actions on partition lattices
New algebraic topological invariants for combinatorial structures
Abstract
We compute all the equivariant Euler characteristics of the -poset of partitions of the element set.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Algebra and Geometry · Algebraic structures and combinatorial models