We determine the cd-index of the induced subdivision arising from a manifold arrangement. This generalizes earlier results in several directions: (i) One can work with manifolds other than the n-sphere and n-torus, (ii) the induced subdivision is a Whitney stratification, and (iii) the submanifolds in the arrangement are no longer required to be codimension one
We introduce a new invariant for triangulated categories: the poset of spherical subcategories order...
We generalize bistellar operations (often called flips) on simplicial manifolds to a notion of gener...
We outline an algorithm to recover the canonical (or, coarsest) stratification of a given finite-dim...
We determine the cd-index of the induced subdivision arising from a manifold arrangement. This gener...
Abstract. In this paper we give a simple geometric proof of existence of so-called Whitney stratific...
We consider a central subspace and half-space arrangement A in Euclidean vector space V, and let M(A...
An arrangement is a collection of subspaces of a topological space. For example, a set of codimensio...
A fundamental achievement in the theory of matroids is the Topological Representation Theorem which ...
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being th...
We study the structure induced on a smooth manifold by a continuous selection of smooth functions. I...
. The classical Whitney formula relates the algebraic number of times that a generic immersed plane ...
Combinatorial transgressions are secondary invariants of a triangulable space analogous to transgres...
AbstractLet S be an l-dimensional sphere. A sphere arrangement B is a finite collection of spheres i...
We describe a new algorithm for computing Whitney stratifications of complex projective varieties. T...
While the boundary 3-manifold of a line arrangement in the complex plane depends only on the inciden...
We introduce a new invariant for triangulated categories: the poset of spherical subcategories order...
We generalize bistellar operations (often called flips) on simplicial manifolds to a notion of gener...
We outline an algorithm to recover the canonical (or, coarsest) stratification of a given finite-dim...
We determine the cd-index of the induced subdivision arising from a manifold arrangement. This gener...
Abstract. In this paper we give a simple geometric proof of existence of so-called Whitney stratific...
We consider a central subspace and half-space arrangement A in Euclidean vector space V, and let M(A...
An arrangement is a collection of subspaces of a topological space. For example, a set of codimensio...
A fundamental achievement in the theory of matroids is the Topological Representation Theorem which ...
A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being th...
We study the structure induced on a smooth manifold by a continuous selection of smooth functions. I...
. The classical Whitney formula relates the algebraic number of times that a generic immersed plane ...
Combinatorial transgressions are secondary invariants of a triangulable space analogous to transgres...
AbstractLet S be an l-dimensional sphere. A sphere arrangement B is a finite collection of spheres i...
We describe a new algorithm for computing Whitney stratifications of complex projective varieties. T...
While the boundary 3-manifold of a line arrangement in the complex plane depends only on the inciden...
We introduce a new invariant for triangulated categories: the poset of spherical subcategories order...
We generalize bistellar operations (often called flips) on simplicial manifolds to a notion of gener...
We outline an algorithm to recover the canonical (or, coarsest) stratification of a given finite-dim...