From Stein to Weinstein and Back

From Stein to Weinstein and Back PDF

Author: Kai Cieliebak

Publisher: American Mathematical Soc.

Published: 2012

Total Pages: 379

ISBN-13: 0821885332

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This book is devoted to the interplay between complex and symplectic geometry in affine complex manifolds. Affine complex (a.k.a. Stein) manifolds have canonically built into them symplectic geometry which is responsible for many phenomena in complex geometry and analysis. The goal of the book is the exploration of this symplectic geometry (the road from 'Stein to Weinstein') and its applications in the complex geometric world of Stein manifolds (the road 'back').

Symplectic Geometry

Symplectic Geometry PDF

Author: Helmut Hofer

Publisher: Springer Nature

Published: 2022-12-05

Total Pages: 1158

ISBN-13: 3031191110

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Over the course of his distinguished career, Claude Viterbo has made a number of groundbreaking contributions in the development of symplectic geometry/topology and Hamiltonian dynamics. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.

Symplectic, Poisson, and Noncommutative Geometry

Symplectic, Poisson, and Noncommutative Geometry PDF

Author: Tohru Eguchi

Publisher: Cambridge University Press

Published: 2014-08-25

Total Pages: 303

ISBN-13: 1107056411

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This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute.

Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory

Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory PDF

Author: Chris Wendl

Publisher: Cambridge University Press

Published: 2020-03-26

Total Pages: 198

ISBN-13: 1108759580

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Intersection theory has played a prominent role in the study of closed symplectic 4-manifolds since Gromov's famous 1985 paper on pseudoholomorphic curves, leading to myriad beautiful rigidity results that are either inaccessible or not true in higher dimensions. Siefring's recent extension of the theory to punctured holomorphic curves allowed similarly important results for contact 3-manifolds and their symplectic fillings. Based on a series of lectures for graduate students in topology, this book begins with an overview of the closed case, and then proceeds to explain the essentials of Siefring's intersection theory and how to use it, and gives some sample applications in low-dimensional symplectic and contact topology. The appendices provide valuable information for researchers, including a concise reference guide on Siefring's theory and a self-contained proof of a weak version of the Micallef–White theorem.

Geometric Methods in Physics XXXVI

Geometric Methods in Physics XXXVI PDF

Author: Piotr Kielanowski

Publisher: Springer

Published: 2019-03-11

Total Pages: 425

ISBN-13: 3030011569

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This book collects papers based on the XXXVI Białowieża Workshop on Geometric Methods in Physics, 2017. The Workshop, which attracts a community of experts active at the crossroads of mathematics and physics, represents a major annual event in the field. Based on presentations given at the Workshop, the papers gathered here are previously unpublished, at the cutting edge of current research, and primarily grounded in geometry and analysis, with applications to classical and quantum physics. In addition, a Special Session was dedicated to S. Twareque Ali, a distinguished mathematical physicist at Concordia University, Montreal, who passed away in January 2016. For the past six years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising a series of advanced lectures for graduate students and early-career researchers. The extended abstracts of this year’s lecture series are also included here. The unique character of the Workshop-and-School series is due in part to the venue: a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in eastern Poland. Lectures are given in the Nature and Forest Museum, and local traditions are interwoven with the scientific activities.

Surgery on Contact 3-Manifolds and Stein Surfaces

Surgery on Contact 3-Manifolds and Stein Surfaces PDF

Author: Burak Ozbagci

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 279

ISBN-13: 366210167X

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This book is about an investigation of recent developments in the field of sympletic and contact structures on four- and three-dimensional manifolds from a topologist’s point of view. In it, two main issues are addressed: what kind of sympletic and contact structures we can construct via surgery theory and what kind of sympletic and contact structures are not allowed via gauge theory and the newly invented Heegaard-Floer theory.

Modern Geometry: A Celebration of the Work of Simon Donaldson

Modern Geometry: A Celebration of the Work of Simon Donaldson PDF

Author: Vicente Muñoz

Publisher: American Mathematical Soc.

Published: 2018-09-05

Total Pages: 416

ISBN-13: 1470440946

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This book contains a collection of survey articles of exciting new developments in geometry, written in tribute to Simon Donaldson to celebrate his 60th birthday. Reflecting the wide range of Donaldson's interests and influence, the papers range from algebraic geometry and topology through symplectic geometry and geometric analysis to mathematical physics. Their expository nature means the book acts as an invitation to the various topics described, while also giving a sense of the links between these different areas and the unity of modern geometry.

The Brain Defense

The Brain Defense PDF

Author: Kevin Davis

Publisher: Penguin

Published: 2017-02-28

Total Pages: 338

ISBN-13: 1594206333

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Called “the best kind of nonfiction” by Michael Connelly, this riveting new book combines true crime, brain science, and courtroom drama. In 1991, the police were called to East 72nd St. in Manhattan, where a woman's body had fallen from a twelfth-story window. The woman’s husband, Herbert Weinstein, soon confessed to having hit and strangled his wife after an argument, then dropping her body out of their apartment window to make it look like a suicide. The 65-year-old Weinstein, a quiet, unassuming retired advertising executive, had no criminal record, no history of violent behavior—not even a short temper. How, then, to explain this horrific act? Journalist Kevin Davis uses the perplexing story of the Weinstein murder to present a riveting, deeply researched exploration of the intersection of neuroscience and criminal justice. Shortly after Weinstein was arrested, an MRI revealed a cyst the size of an orange on his brain’s frontal lobe, the part of the brain that governs judgment and impulse control. Weinstein’s lawyer seized on that discovery, arguing that the cyst had impaired Weinstein’s judgment and that he should not be held criminally responsible for the murder. It was the first case in the United States in which a judge allowed a scan showing a defendant’s brain activity to be admitted as evidence to support a claim of innocence. The Weinstein case marked the dawn of a new era in America's courtrooms, raising complex and often troubling questions about how we define responsibility and free will, how we view the purpose of punishment, and how strongly we are willing to bring scientific evidence to bear on moral questions. Davis brings to light not only the intricacies of the Weinstein case but also the broader history linking brain injuries and aberrant behavior, from the bizarre stories of Phineas Gage and Charles Whitman, perpetrator of the 1966 Texas Tower massacre, to the role that brain damage may play in violence carried out by football players and troubled veterans of America’s twenty-first century wars. The Weinstein case opened the door for a novel defense that continues to transform the legal system: Criminal lawyers are increasingly turning to neuroscience and introducing the effects of brain injuries—whether caused by trauma or by tumors, cancer, or drug or alcohol abuse—and arguing that such damage should be considered in determining guilt or innocence, the death penalty or years behind bars. As he takes stock of the past, present and future of neuroscience in the courts, Davis offers a powerful account of its potential and its hazards. Thought-provoking and brilliantly crafted, The Brain Defense marries a murder mystery complete with colorful characters and courtroom drama with a sophisticated discussion of how our legal system has changed—and must continue to change—as we broaden our understanding of the human mind.