Moment Maps, Cobordisms, and Hamiltonian Group Actions PDF Download
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Author: Victor Guillemin
Publisher: American Mathematical Soc.
ISBN: 0821805029
Category : Mathematics
Languages : en
Pages : 362
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Book Description
During the last 20 years, ``localization'' has been one of the dominant themes in the area of equivariant differential geometry. Typical results are the Duistermaat-Heckman theory, the Berline-Vergne-Atiyah-Bott localization theorem in equivariant de Rham theory, and the ``quantization commutes with reduction'' theorem and its various corollaries. To formulate the idea that these theorems are all consequences of a single result involving equivariant cobordisms, the authors have developed a cobordism theory that allows the objects to be non-compact manifolds. A key ingredient in this non-compact cobordism is an equivariant-geometrical object which they call an ``abstract moment map''. This is a natural and important generalization of the notion of a moment map occurring in the theory of Hamiltonian dynamics. The book contains a number of appendices that include introductions to proper group-actions on manifolds, equivariant cohomology, Spin${^\mathrm{c}}$-structures, and stable complex structures. It is geared toward graduate students and research mathematicians interested in differential geometry. It is also suitable for topologists, Lie theorists, combinatorists, and theoretical physicists. Prerequisite is some expertise in calculus on manifolds and basic graduate-level differential geometry.
Author: Victor Guillemin
Publisher: American Mathematical Soc.
ISBN: 0821805029
Category : Mathematics
Languages : en
Pages : 362
Get Book Here
Book Description
During the last 20 years, ``localization'' has been one of the dominant themes in the area of equivariant differential geometry. Typical results are the Duistermaat-Heckman theory, the Berline-Vergne-Atiyah-Bott localization theorem in equivariant de Rham theory, and the ``quantization commutes with reduction'' theorem and its various corollaries. To formulate the idea that these theorems are all consequences of a single result involving equivariant cobordisms, the authors have developed a cobordism theory that allows the objects to be non-compact manifolds. A key ingredient in this non-compact cobordism is an equivariant-geometrical object which they call an ``abstract moment map''. This is a natural and important generalization of the notion of a moment map occurring in the theory of Hamiltonian dynamics. The book contains a number of appendices that include introductions to proper group-actions on manifolds, equivariant cohomology, Spin${^\mathrm{c}}$-structures, and stable complex structures. It is geared toward graduate students and research mathematicians interested in differential geometry. It is also suitable for topologists, Lie theorists, combinatorists, and theoretical physicists. Prerequisite is some expertise in calculus on manifolds and basic graduate-level differential geometry.
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ISBN:
Category : English language
Languages : en
Pages : 640
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Book Description
Author: Robert Hoekman Jr.
Publisher: Peachpit Press
ISBN: 0132104067
Category : Computers
Languages : en
Pages : 257
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Book Description
The trick to great design is knowing how to think through each decision so that users don't have to. In Designing the Moment: Web Interface Design Concepts in Action, Robert Hoekman, Jr., author of Designing the Obvious, presents over 30 stories that illustrate how to put good design principles to work on real-world web application interfaces to make them obvious and compelling. From the first impression to the last, Hoekman takes a think out loud approach to interface design to show us how to look critically at design decisions to ensure that human beings, the kind that make mistakes and do things we don't expect, can walk away from our software feeling productive, respected, and smart.
Author: Melinda Gates
Publisher: Flatiron Books
ISBN: 1250313562
Category : Social Science
Languages : en
Pages : 224
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Book Description
NEW YORK TIMES BESTSELLER “In her book, Melinda tells the stories of the inspiring people she’s met through her work all over the world, digs into the data, and powerfully illustrates issues that need our attention—from child marriage to gender inequity in the workplace.” — President Barack Obama “The Moment of Lift is an urgent call to courage. It changed how I think about myself, my family, my work, and what’s possible in the world. Melinda weaves together vulnerable, brave storytelling and compelling data to make this one of those rare books that you carry in your heart and mind long after the last page.” — Brené Brown, Ph.D., author of the New York Times #1 bestseller Dare to Lead “Melinda Gates has spent many years working with women around the world. This book is an urgent manifesto for an equal society where women are valued and recognized in all spheres of life. Most of all, it is a call for unity, inclusion and connection. We need this message more than ever.” — Malala Yousafzai "Melinda Gates's book is a lesson in listening. A powerful, poignant, and ultimately humble call to arms." — Tara Westover, author of the New York Times #1 bestseller Educated A debut from Melinda Gates, a timely and necessary call to action for women's empowerment. “How can we summon a moment of lift for human beings – and especially for women? Because when you lift up women, you lift up humanity.” For the last twenty years, Melinda Gates has been on a mission to find solutions for people with the most urgent needs, wherever they live. Throughout this journey, one thing has become increasingly clear to her: If you want to lift a society up, you need to stop keeping women down. In this moving and compelling book, Melinda shares lessons she’s learned from the inspiring people she’s met during her work and travels around the world. As she writes in the introduction, “That is why I had to write this book—to share the stories of people who have given focus and urgency to my life. I want all of us to see ways we can lift women up where we live.” Melinda’s unforgettable narrative is backed by startling data as she presents the issues that most need our attention—from child marriage to lack of access to contraceptives to gender inequity in the workplace. And, for the first time, she writes about her personal life and the road to equality in her own marriage. Throughout, she shows how there has never been more opportunity to change the world—and ourselves. Writing with emotion, candor, and grace, she introduces us to remarkable women and shows the power of connecting with one another. When we lift others up, they lift us up, too.
Author: Jean Pierre de Caussade
Publisher: Ignatius Press
ISBN: 1586174711
Category : Religion
Languages : en
Pages : 454
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Book Description
God is to be found in the simplest of our daily activities and especially through total surrender to whatever is His will for each of us. That is the message of this 18th-century inspirational classic by Jean-Pierre de Caussade. Its encouragement to live in the present moment, accepting everyday obstacles with humility and love, has guided generations of seekers to spiritual peace and holiness. In this timeless spiritual classic, de Caussade presents the simple, profound gospel message that Jesus lived and taught: My meat is to do the will of my Father in heaven. The author states, The will of God gives to all things a supernatural and divine value for the soul submitting to it. The duties it imposes and those it contains become holy and perfect because everything it touches shares its divine character.This special volume of the famous spiritual treatise also includes the many insightful letters of Father de Caussade on the practice of self-abandonment. These numerous letters provide a great additional source of wisdom and much practical guidance for how to grow in abandonment and to deepen our union with God in our daily lives.De Caussade shows that this practice of self-abandonment to God's will is the key to attaining true peace and virtue, and that it is readily available to all people - from beginners to those well advanced in the spiritual life. He also shows how to determine what God's will is for us. He reveals that it is not extraordinary feats that God expects for our growth in holiness, but rather heroic attention to every detail in our lives and humble acceptance of our daily lot in life as coming from His hand. The rich spiritual lessons in this book have stood the test of time, offering real and practical assistance to all people because its message is simple and clear, one that the reader will find to be a rare treasure of inspiration and direction to be referred to again and again.
Author: T. D. Jakes
Publisher: Walker Large Print
ISBN: 9780802727824
Category : Religion
Languages : en
Pages : 384
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Book Description
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Category : Drama
Languages : en
Pages : 456
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Book Description
Author: Erik Oberg
Publisher:
ISBN:
Category : Machinery
Languages : en
Pages : 590
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Book Description
Author: United States. National Advisory Committee for Aeronautics
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 32
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Book Description
Author: Michael Wooldridge
Publisher: Springer Science & Business Media
ISBN: 9401592047
Category : Philosophy
Languages : en
Pages : 303
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Book Description
This volume represents an advanced, comprehensive state-of-the-art survey of the field of rational agency as it stands today. It covers the philosophical foundations of rational agency, logical and decision-theoretic approaches to rational agency, multi-agent aspects of rational agency and a number of approaches to programming rational agents. It will be of interest to researchers in logic, mainstream computer science, the philosophy of rational action and agency, and economics.
