Enumerating indices of Schubert varieties defined by inclusions

Albert, Michael H. and Brignall, Robert (2014). Enumerating indices of Schubert varieties defined by inclusions. Journal of Combinatorial Theory, Series A, 123(1) pp. 154–168.

DOI: https://doi.org/10.1016/j.jcta.2013.12.003

Abstract

By extending the notion of grid classes to include infinite grids, we establish a structural characterisation of the simple permutations in Av(4231,35142,42513,351624)Av(4231,35142,42513,351624), a pattern class which has three different connections with algebraic geometry, including the specification of indices of Schubert varieties defined by inclusions. This characterisation leads to the enumeration of the class.

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