Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Tewari, Vasu"'
We develop a quasisymmetric analogue of the theory of Schubert cycles, building off of our previous work on a quasisymmetric analogue of Schubert polynomials and divided differences. Our constructions result in a natural geometric interpretation for
Externí odkaz:
http://arxiv.org/abs/2410.12643
We give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly nonnegative, by studying solutions to the equation $\sum Y_i\partial_i=\mathrm{id}$ on polynomials wit
Externí odkaz:
http://arxiv.org/abs/2407.02375
We develop a quasisymmetric analogue of the combinatorial theory of Schubert polynomials and the associated divided difference operators. Our counterparts are "forest polynomials", and a new family of linear operators, whose theory of compositions is
Externí odkaz:
http://arxiv.org/abs/2406.01510
We associate a quotient of superspace to any hyperplane arrangement by considering the differential closure of an ideal generated by powers of certain homogeneous linear forms. This quotient is a superspace analogue of the external zonotopal algebra,
Externí odkaz:
http://arxiv.org/abs/2404.01450
Autor:
Nadeau, Philippe, Tewari, Vasu
We study a basis of the polynomial ring that we call forest polynomials. This family of polynomials is indexed by a combinatorial structure called indexed forests and permits several definitions, one of which involves flagged P-partitions. As such, t
Externí odkaz:
http://arxiv.org/abs/2306.10939
Autor:
Nadeau, Philippe, Tewari, Vasu
Stanley's theory of $(P,\omega)$-partitions is a standard tool in combinatorics. It can be extended to allow for the presence of a restriction, that is a given maximal value for partitions at each vertex of the poset, as was shown by Assaf and Berger
Externí odkaz:
http://arxiv.org/abs/2303.09019
Autor:
Nadeau, Philippe, Tewari, Vasu
We establish Guay-Paquet's unpublished linear relation between certain chromatic symmetric functions by relating his algebra on paths to the $q$-Klyachko algebra. The coefficients in this relations are $q$-hit polynomials, and they come up naturally
Externí odkaz:
http://arxiv.org/abs/2208.04175
Autor:
Nadeau, Philippe, Tewari, Vasu
Remixed Eulerian numbers are a polynomial $q$-deformation of Postnikov's mixed Eulerian numbers. They arose naturally in previous work by the authors concerning the permutahedral variety and subsume well-known families of polynomials such as $q$-bino
Externí odkaz:
http://arxiv.org/abs/2208.04128
We apply the method of orbit harmonics to the set of break divisors and orientable divisors on graphs to obtain the central and external zonotopal algebras respectively. We then relate a construction of Efimov in the context of cohomological Hall alg
Externí odkaz:
http://arxiv.org/abs/2207.11861
Autor:
Nadeau, Philippe, Tewari, Vasu
Publikováno v:
In Advances in Mathematics September 2024 453