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Eigenvalues of products of unitary matrices and Lagrangian involutions
Unitary representations Parabolic bundles Lagrangian involutions
2015/12/17
This paper introduces a submanifold of the moduli space of unitary representations of the fundamental group of a puncturedsphere with fixedlocal monodromy. The submanifoldis definedvia products of inv...
Lexicographic Shellability of Partial Involutions
Lexicographic Shellability of Partial Involutions Combinatorics Algebraic Geometry
2012/5/9
In this manuscript we study inclusion posets of Borel orbit closures on (symmetric) matrices. In particular, we show that the Bruhat poset of partial involutions is a lexicographiically shellable pose...
Asymptotic Hecke algebras and involutions
Asymptotic Hecke algebras involutions Representation Theory
2012/4/17
In a previous paper the author and D. Vogan defined and studied a Hecke algebra module structure on a vector space spanned by the involutions in a Weyl group. In this paper this study is continued by ...
Abstract: Let X be a Hyperk\"{a}hler variety deformation equivalent to the Hilbert square of points on a K3 surface and let f be an involution preserving the symplectic form. We prove that the fixed l...
Let $X$ be a closed, simply-connected, smooth, spin 4-manifold whose intersection form is isomorphic to $n(-E_8)\bigoplus mH$, where $H$ is the hyperbolic form.
Homotopes of Symmetric Spaces I. Construction by Algebras with Two Involutions
Homotopes of Symmetric Spaces I Algebras Involutions
2010/11/19
We investigate a special kind of contraction of symmetric spaces (respectively, of Lie triple systems), called homotopy. In this first part of a series of two papers we construct such contractions fo...
Parity Reversing Involutions on Plane Trees and 2-Motzkin Paths
plane tree Dyck path 2-Motzkin path Catalan number involution
2014/6/3
The problem of counting plane trees with n edges and an even or an odd number of leaves was studied by Eu, Liu and Yeh, in connection with an identity on coloring nets due to Stanley. This identity wa...