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The Decomposition of Global Conformal Invariants (AM-182)$
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Spyros Alexakis

Print publication date: 2012

Print ISBN-13: 9780691153476

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691153476.001.0001

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Introduction

Introduction

Chapter:
(p.1) Chapter One Introduction
Source:
The Decomposition of Global Conformal Invariants (AM-182)
Author(s):

Spyros Alexakis

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691153476.003.0001

This introductory chapter first sets out the book's purpose, which is to provide a rigorous proof of the Deser–Schwimmer conjecture. This work is a continuation of the previous two papers of the author, which established the conjecture in a special case and introduced tools that laid the groundwork for the resolution of the full conjecture. The chapter then provides a formulation of the conjecture, presents some applications, and discusses its close relation with certain questions in index theory and in Cauchy–Riemann and Kähler geometry. Then, it broadly outlines the strategy of the proof and very briefly present the tasks that are undertaken in each of the subsequent chapters.

Keywords:   index theory, Cauchy–Riemann geometry, differential geometry, Deser–Schwimmer conjecture, Kähler geometry

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