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National Soul
Examining their social, political, and economic contexts, McKay shows how the murals of this period glorified Canada as a modern nation state, extolled the virtues of commerce and industry, inculcated conventions of gender and race, and shared the intensity of nationalistic sentiment that led to the work of the more renowned painters of Toronto's Group of Seven. Bringing together for the first time a body of Canadian work - civic, commercial, religious, and private - that has been largely ignored by art historians, A National Soul challenges previous histories of Canadian painting. This generously illustrated book reproduces seldom-seen works from across the country, many of which have been moved or destroyed, and includes a comprehensive listing of all works from the period, their original and present locations, and their state of preservation.
Intelligence Of Low Dimensional Topology 2006
This volume gathers the contributions from the international conference “Intelligence of Low Dimensional Topology 2006,” which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest results.
Surfaces in 4-Space
This book discusses knotted surfaces in 4-dimensional space and surveys many of the known results, including knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory.
Knotted Surfaces and Their Diagrams
In this book the authors develop the theory of knotted surfaces in analogy with the classical case of knotted curves in 3-dimensional space. In the first chapter knotted surface diagrams are defined and exemplified; these are generic surfaces in 3-space with crossing information given. The diagrams are further enhanced to give alternative descriptions. A knotted surface can be described as a movie, as a kind of labeled planar graph, or as a sequence of words in which successive words are related by grammatical changes. In the second chapter, the theory of Reidemeister moves is developed in the various contexts. The authors show how to unknot intricate examples using these moves. The third ch...
Surfaces in 4-Space
Surfaces in 4-Space, written by leading specialists in the field, discusses knotted surfaces in 4-dimensional space and surveys many of the known results in the area. Results on knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory are presented. The last chapter comprises many recent results, and techniques for computation are presented. New tables of quandles with a few elements and the homology groups thereof are included. This book contains many new illustrations of knotted surface diagrams. The reader of the book will become intimately aware of the subtleties in going from the classical case of knotted circles in 3-space to this higher dimensional case. As a survey, the book is a guide book to the extensive literature on knotted surfaces and will become a useful reference for graduate students and researchers in mathematics and physics.
