Betti numbers of the Springer fibers over nilpotent elements in gln(C) of Jordan form (2b,1a-b)

Betti numbers of the Springer fibers over nilpotent elements in gln(C) of Jordan form (2b,1a-b)

In this paper, we compute the generating function for the Betti numbers of the Springer fibers over nilpotent elements in g l n ( C ) of Jordan form ( 2 b , 1 a - b ) , where a ≥ b ≥ 1 .

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Veröffentlicht in:Journal of algebraic combinatorics 2022, Vol.55 (3), p.847-852
1. Verfasser: Mansour, Ronit
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorics
Computer Science
Convex and Discrete Geometry
Group Theory and Generalizations
Jordan form
Lattices
Mathematics
Mathematics and Statistics
Order
Ordered Algebraic Structures
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Zusammenfassung:In this paper, we compute the generating function for the Betti numbers of the Springer fibers over nilpotent elements in g l n ( C ) of Jordan form ( 2 b , 1 a - b ) , where a ≥ b ≥ 1 .
ISSN:0925-9899
1572-9192
DOI:10.1007/s10801-021-01074-2