Combinatorics of multiboundary singularities B_n^l and Bernoulli-Euler numbers

Karpenkov, Oleg ORCID: 0000-0002-3358-6998
(2006) Combinatorics of multiboundary singularities B_n^l and Bernoulli-Euler numbers. Funct. Anal. Appl. 36(2002), no 1, 78-81, 36 (1). pp. 65-67.

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Consider generalizations of the boundary singularities B_n of the functions on the real line to the case where the boundary consists of a finite number of l points. These singularities B_n^l could also arise in higher dimensional case, when the boundary is an immersed hypersurface. We obtain a particular recurrent equation on the numbers of connected components of very nice M-morsification spaces of the multiboundary singularities B_n^l. This helps us to express the numbers K_n^l (for l=2,3,4...) by Bernoulli-Euler numbers. We also find the corresponding generating functions.

Item Type: Article
Additional Information: 4 pages, 1 figure
Uncontrolled Keywords: math.AG, math.AG, math.CO, 58K60; 14B05
Depositing User: Symplectic Admin
Date Deposited: 09 May 2016 10:06
Last Modified: 19 Jan 2023 07:37
DOI: 10.1023/A:1014434318546
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