Betti numbers of the Springer fibers over nilpotent elements in \(gl_n(\mathbb{C})\) of Jordan form \((2^b,1^{a-b})\)

DOI10.1007/s10801-021-01074-2zbMath1489.05006OpenAlexW3202672479MaRDI QIDQ2137068

Ronit Mansour

Publication date: 16 May 2022

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-021-01074-2

zbMATH Keywords

Betti numbersSpringer fibers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (2)

Counting covered fixed points and covered arcs in an involution ⋮ Poincaré polynomial at \(-1\) associated with a Young diagram of three rows

Uses Software

• OEIS

Cites Work

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• Classes unipotentes et sous-groupes de Borel
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• Unimodality of the distribution of Betti numbers for some Springer fibers
• Kernel method and linear recurrence system
• Betti numbers of Springer fibers in type \(A\)
• On the singularity of the irreducible components of a Springer fiber in \({\mathfrak{s}\mathfrak{l}_n}\)

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