Add to ORKGWe generalize bistellar operations (often called flips) on simplicial manifolds to a notion of general flips on PL-spheres. We provide methods for computing the cd-index of these general flips, which is the change in the cd-index of any sphere to which the flip is applied. We provide formulas and relations among flips in certain classes, paying special attention to the classic case of bistellar flips. We also consider questions of flip-connecticity , that is, we show that any two polytopes in certain classes can be connected via a sequence of flips in an appropriate class
We study flag enumeration in intervals in the Bruhat order on a Coxeter group by means of a structur...
The DK Flip Conjecture of Bondal-Orlov and Kawamata states that there should be an embedding of deri...
We give a new description of the combinatorics of triangulations of even-dimensional cyclic polytope...
Within the area of birational geometry one of the most frequent and complicated operations that occu...
In this dissertation we first examine the descent set polynomial, which is defined in terms of the d...
Ph.D.We investigate the DK conjecture on derived categories of coherent sheaves stated by Bondal-Orl...
We introduce a new class of autoequivalences that act on the derived categories of certain vector bu...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.Includes bibliogr...
This thesis is about a class of complex algebraic threefolds known as flops, which are an important ...
A healthy body of evidence says that birational geometry and derived categories are intimately bound...
Noncommutative(nc) deformations have been very important to the study of quantum physics and geometr...
A fundamental achievement in the theory of matroids is the Topological Representation Theorem which ...
The homological interpretation of the Minimal Model Program conjectures that flips should correspond...
The main result of the thesis is a novel construction of several vector bundles on Klein's quartic c...
Rectangulations are partitions of a square into axis-aligned rectangles. A number of results provide...
We study flag enumeration in intervals in the Bruhat order on a Coxeter group by means of a structur...
The DK Flip Conjecture of Bondal-Orlov and Kawamata states that there should be an embedding of deri...
We give a new description of the combinatorics of triangulations of even-dimensional cyclic polytope...
Within the area of birational geometry one of the most frequent and complicated operations that occu...
In this dissertation we first examine the descent set polynomial, which is defined in terms of the d...
Ph.D.We investigate the DK conjecture on derived categories of coherent sheaves stated by Bondal-Orl...
We introduce a new class of autoequivalences that act on the derived categories of certain vector bu...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.Includes bibliogr...
This thesis is about a class of complex algebraic threefolds known as flops, which are an important ...
A healthy body of evidence says that birational geometry and derived categories are intimately bound...
Noncommutative(nc) deformations have been very important to the study of quantum physics and geometr...
A fundamental achievement in the theory of matroids is the Topological Representation Theorem which ...
The homological interpretation of the Minimal Model Program conjectures that flips should correspond...
The main result of the thesis is a novel construction of several vector bundles on Klein's quartic c...
Rectangulations are partitions of a square into axis-aligned rectangles. A number of results provide...
We study flag enumeration in intervals in the Bruhat order on a Coxeter group by means of a structur...
The DK Flip Conjecture of Bondal-Orlov and Kawamata states that there should be an embedding of deri...
We give a new description of the combinatorics of triangulations of even-dimensional cyclic polytope...