33 citations · 88 across the 15 of their papers we have counts for
7 papers · 1 filter
Orthogonal shadows and index of Grassmann manifolds
Djordje Baralić, Pavle V. M. Blagojević, Roman Karasev +1
In this paper we study the action on real Grassmann manifolds and given by taking (appropriately oriented) orthogonal complemen…
Local multiplicity of continuous maps between manifolds
Pavle V. M. Blagojević, Roman Karasev
Let and be smooth (real or complex) manifolds, and let be equipped with some Riemannian metric. A continuous map admits a local -multipl…
Hyperplane mass partitions via relative equivariant obstruction theory
Pavle V. M. Blagojević, Florian Frick, Albert Haase +1
The Grünbaum-Hadwiger-Ramos hyperplane mass partition problem was introduced by Grünbaum (1960) in a special case and in general form by Ramos (1996). It asks for the "admissible"…
On complex highly regular embeddings and the extended Vassiliev conjecture
Pavle V. M. Blagojević, Frederick R. Cohen, Wolfgang Lück +1
A continuous map C^d -> C^N is a complex k-regular embedding if any k pairwise distinct points in C^d are mapped by f into k complex linearly independent vectors in C^N. Our centra…
The Schwarz genus of the Stiefel manifold and counting geometric configurations
Pavle Blagojević, Roman Karasev
In this paper we compute: the Schwarz genus of the Stiefel manifold with respect to the action of the Weyl group , and the Lust…
Extensions of theorems of Rattray and Makeev
Pavle Blagojević, Roman Karasev
We consider extensions of the Rattray theorem and two Makeev's theorems, showing that they hold for several maps, measures, or functions simultaneously, when we consider orthonorma…
The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes
Pavle V. M. Blagojević, Günter M. Ziegler
We compute the complete Fadell-Husseini index of the 8 element dihedral group D_8 acting on S^d \times S^d, both for F_2 and for integer coefficients. This establishes the complete…