New Perspectives In Algebraic Combinatorics
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New Perspectives in Algebraic Combinatorics
Author: Louis J. Billera
language: en
Publisher: Cambridge University Press
Release Date: 1999-09-28
This text contains expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.
Algebraic Combinatorics
Author: Peter Orlik
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-07-23
This book is based on two series of lectures given at a summer school on algebraic combinatorics at the Sophus Lie Centre in Nordfjordeid, Norway, in June 2003, one by Peter Orlik on hyperplane arrangements, and the other one by Volkmar Welker on free resolutions. Both topics are essential parts of current research in a variety of mathematical fields, and the present book makes these sophisticated tools available for graduate students.
Combinatorial Algebraic Topology
Author: Dimitry Kozlov
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-10-24
This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.