3 papers
math.CO2004
Parking functions and Haglund--Loehr data
Yurii M. Burman
A parking function is a sequence of N nonnegative integers majorated by a permutation of the set {0, ..., N-1}. We provide a way to encode parking functions by data suggested by J.…
math.DG1999
Relative moduli spaces of complex structures: an example
Yurii M. Burman
Let M and N be even-dimensional oriented real manifolds, and be a smooth mapping. A pair of complex structures at M and N is called u-compatible if the mapping u is hol…
math.DG1998
Whitney's index formula in higher dimensions and Laplace integrals
Yurii M. Burman
The famous Whitney formula relates the winding number of the smooth generic curve in the real plane to the number of its self-intersection points counted with appropriate signs. We…