Tilings Of The Plane Hyperbolic Groups And Small Cancellation Conditions
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Tilings of the Plane, Hyperbolic Groups, and Small Cancellation Conditions
Preface Acknowledgments Introduction Small cancellation theory of $\mathcal{T}$ Tilings Bibliography.
Tilings of the Plane, Hyperbolic Groups and Small Cancellation Conditions
Author: Milé Krajčevski
language: en
Publisher: American Mathematical Soc.
Release Date: 2001
This book is intended for graduate students and research mathematicians interested in group theory and generalizations.
Topological Invariants of the Complement to Arrangements of Rational Plane Curves
Author: José Ignacio Cogolludo-Agustín
language: en
Publisher: American Mathematical Soc.
Release Date: 2002
The authors analyse two topological invariants of an embedding of an arrangement of rational plane curves in the projective complex plane, namely, the cohomology ring of the complement and the characteristic varieties. Their main result states that the cohomology ring of the complement to a rational arrangement is generated by logarithmic 1 and 2-forms and its structure depends on a finite number of invariants of the curve (its combinatorial type).