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

Ronit Mansour

doi:10.1007/s10801-021-01074-2

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

Ronit Mansour

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	847-852
Number of pages	6
Journal	Journal of Algebraic Combinatorics
Volume	55
Issue number	3
DOIs	https://doi.org/10.1007/s10801-021-01074-2
State	Published - May 2022
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Betti numbers
Springer fibers

ASJC Scopus subject areas

Algebra and Number Theory
Discrete Mathematics and Combinatorics

Access to Document

10.1007/s10801-021-01074-2

Cite this

@article{faf8c5c670554f4890da530745b2c6e4,

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

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

keywords = "Betti numbers, Springer fibers",

author = "Ronit Mansour",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2022",

month = may,

doi = "10.1007/s10801-021-01074-2",

language = "English",

volume = "55",

pages = "847--852",

journal = "Journal of Algebraic Combinatorics",

issn = "0925-9899",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Betti numbers of the Springer fibers over nilpotent elements in gln(C) of Jordan form (2 b, 1 a-b)

AU - Mansour, Ronit

PY - 2022/5

Y1 - 2022/5

N2 - In this paper, we compute the generating function for the Betti numbers of the Springer fibers over nilpotent elements in gln(C) of Jordan form (2 b, 1 a-b) , where a≥ b≥ 1.

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

KW - Betti numbers

KW - Springer fibers

UR - https://www.scopus.com/pages/publications/85116310516

U2 - 10.1007/s10801-021-01074-2

DO - 10.1007/s10801-021-01074-2

M3 - Article

AN - SCOPUS:85116310516

SN - 0925-9899

VL - 55

SP - 847

EP - 852

JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

IS - 3

ER -