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19952024
most citedSolitary Wave Dynamics in an External Potential

178 citations

Showing 2004Show all

6 papers · 1 filter

math.QA2004★ 8 cited

Hermitian star products are completely positive deformations

Henrique Bursztyn, Stefan Waldmann

Let M be a Poisson manifold equipped with a Hermitian star product. We show that any positive linear functional on C^\infty(M) can be deformed into a positive linear functional wit…

math.AG2004

When is a Schubert variety Gorenstein?

Alexander Woo, Alexander Yong

A (normal) variety is Gorenstein if it is Cohen-Macualay and its canonical sheaf is a line bundle. This property, which measures the ``pathology'' of the singularities of a variety…

math.RT2004★ 11 cited

Quiver varieties and Demazure modules

Alistair Savage

Using subvarieties, which we call Demazure quiver varieties, of the quiver varieties of Nakajima, we give a geometric realization of Demazure modules of Kac-Moody algebras with sym…

math.CO2004★ 1 cited

Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions

Louis J. Billera, Hugh Thomas, Stephanie van Willigenburg

We define an equivalence relation on integer compositions and show that two ribbon Schur functions are identical if and only if their defining compositions are equivalent in this s…

math.DG2004★ 121 cited

Generalized complex structures on nilmanifolds

Gil R. Cavalcanti, Marco Gualtieri

We show that all 6-dimensional nilmanifolds admit generalized complex structures. This includes the five classes of nilmanifold which admit no known complex or symplectic structure…

math.CO2004

Graded left modular lattices are supersolvable

Hugh Thomas

We provide a direct proof that a finite graded lattice with a maximal chain of left modular elements is supersolvable. This result was first established via a detour through EL-lab…