Search for dissertations about: "Poincaré polynomial"

Found 3 swedish dissertations containing the words Poincaré polynomial.

2. 1. Enumerative combinatorics related to partition shapes

   Author : Jonas Sjöstrand; Anders Björner; Christian Krattenthaler; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; partition shape; sign-imbalance; Robinson-Schensted correspondence; chess tableau; restricted word; cylindrical lattice walk; Poincaré polynomial; Bruhat interval; rook polynomial; pattern avoidance; partitionsform; teckenobalans; Robinson-Schensted-korrespondens; schacktablå; begränsade ord; cylindriska latticestigar; poincarépolynom; bruhatintervall; tornpolynom; mönsterundvikande permutation; MATHEMATICS; MATEMATIK;

   Abstract : This thesis deals with enumerative combinatorics applied to three different objects related to partition shapes, namely tableaux, restricted words, and Bruhat intervals. The main scientific contributions are the following. READ MORE

4. 2. Minimal models in algebra, combinatorics and topology

   Author : Alexander Berglund; Torsten Ekedahl; Alexandru Suciu; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK; matematik; Mathematics;

   Abstract : The thesis consists of seven papers.In Paper I, II, III, IV and V, we study homological invariants of monomial rings — rings of the form R = k[x1, . . . READ MORE

5. 3. Decomposition of perverse sheaves

   Author : Iara Cristina Alvarinho Gonçalves; Rikard Bögvad; Nero Budur; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Sheaf cohomology; hyperplane arrangements; D-modules; Mathematics; matematik;

   Abstract : This PhD thesis consists in three papers in which we describe irreducibility conditions and the number of factors in a composition series of certain perverse sheaves. We study some particular cases, providing examples and showing how to explicitly use perverse sheaves to obtain precise results. READ MORE