Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. The book also contains some examples of computations and applications.

Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. The book also contains some examples of computations and applications.

This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. Aimed at graduate students in algebraic topology and algebraic geometry, it contains background material from both of these fields, as well as the foundations of motivic homotopy theory. It will serve as a good introduction as well as a convenient reference for a broad group of mathematicians to this important and fascinating new subject. Vladimir Voevodsky is one of the founders of the theory and received the Fields medal for his work, and the other authors have all done important work in the subject.

This volume contains the proceedings of the Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry, held from May 14-18, 2018, at the Universitat Duisburg-Essen, Essen, Germany. It constitutes an accessible yet swift introduction to a new and active area within algebraic geometry, which connects well with classical intersection theory. Combining both lecture notes aimed at the graduate student level and research articles pointing towards the manifold promising applications of this refined approach, it broadly covers refined enumerative algebraic geometry.

Eight Shifts for Wellness provides practical, clear, transformative steps, concepts, and practices to enhance your personal health, wellness, and well-being and that of your family and others. These concepts and tools, based on contemporary knowledge and historical wisdom, are universal and can be applied by anyone. Readers will: (1) discover at least one new concept or practice they will want to implement immediately; (2) learn the important distinctions between health and wellness; (3) be given practical tools to improve their health and wellness; (4) learn how to embody and apply the information they are given; (5) become acquainted with new concepts they can use to create new possibilities in their life; (6) learn how to improve the health and wellness of their family; (7) be inspired to make life-altering shifts in their thinking and actions regarding health and wellness; and (8) learn how the phrase reac lips can change their life.