Combinatorics of multiboundary singularities B_n^l and Bernoulli-Euler numbers
Algebraic Geometry
2007-05-23 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.math/0604024,
title = {Combinatorics of multiboundary singularities B_n^l and Bernoulli-Euler numbers},
author = {Oleg Karpenkov},
journal= {arXiv preprint arXiv:math/0604024},
year = {2007}
}
Comments
4 pages, 1 figure