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This volume is a compilation of new results and surveys on the current state of some aspects of the foliation theory presented during the conference "FOLIATIONS 2012". It contains recent materials on foliation theory which is related to differential geometry, the theory of dynamical systems and differential topology. Both the original research and survey articles found in here should inspire students and researchers interested in foliation theory and the related fields to plan his/her further research.
List of contents
Characterization of the Uniform Perfectness of Diffeomorphism Groups Preserving a Submanifold (Kojun Abe and Kazuhiko Fukui); Integral Formulas in Foliations Theory (Krzysztof Andrzejewski, Vladimir Rovenski and Pawel Walczak); On Linear Independence of Classes in H*(WUq) (Taro Asuke); Recent Progress in Geometric Foliation Theory (Marek Badura and Maciej Czarnecki); A Class of Dimensional Type Estimations of Topological Entropy of Groups and Pseudo Groups (Andrzej Bis); The Sutured Thurston Norm (John Cantwell and Lawrence Conlon); Transverse in Variant Measures Extend to the Ambient Space (Carlos Menino Coton); On a Poincare Lemma for Foliations (Eva Miranda and Romero Solha); Foliations of mathbb{S}3 by Dupin Cyclides (Remi Langevin and Jean-Claude Sifre); Compact Generation for Topological Groupoids (Nicolas Raimbaud); Prescribing the Positive Mixed Scalar Curvature of Totally Geodesic Foliations (Vladimir Rovenski and Leonid Zelenko); Spectral Properties of Dirac-Type Operators Defined on Foliated Manifolds (Vladimir Slesar); Tautness and the Godbillon - Vey Class of Foliations (Pawel Walczak); Local and Global Stability of Leaves of Conformal Foliations (Nina I Zhukova); Problem Session - FOLIATIONS2012 (Steven Hurder).
