Last edited by Gagor
Wednesday, October 7, 2020 | History

13 edition of An Invitation to Morse Theory (Universitext) found in the catalog.

An Invitation to Morse Theory (Universitext)

by Liviu Nicolaescu

  • 222 Want to read
  • 2 Currently reading

Published by Springer .
Written in English


The Physical Object
Number of Pages241
ID Numbers
Open LibraryOL7445939M
ISBN 100387495096
ISBN 109780387495095

  Nicolaescu adds two more chapters to An Invitation to Morse Theory, the first dealing with complex Morse theory, the second being a collection of thirty . Morse theory deals with both finite-dimensional and infinite-dimensional spaces. In particular, it is believed that Morse theory on infinite-dimensional spaces will become more and more important in the future as mathematics advances. This book describes Morse theory for finite dimensions. Finite-dimensional Morse theory has an advantage in.

An Invitation to Morse Theory. An Invitation to Morse Theory pp | Cite as. Morse Functions. Chapter. k Downloads; Part of the Universitext book series (UTX) Abstract. In this first chapter we introduce the reader to the main characters of our story, namely the Morse functions, and we describe the properties which make them so useful. This book describes Morse theory for finite dimensions. Finite-dimensional Morse theory has an advantage in that it is easier to present fundamental ideas than in infinite-dimensional Morse theory, which is theoretically more involved. Therefore, finite-dimensional Morse theory is more suitable for beginners to study.

Part of the Universitext book series (UTX) Abstract In this final chapter we would like to introduce the reader to the complex version of Morse theory that has proved to be very useful in the study of the topology of complex projective varieties, and more recently in the study of . R. Bott, Morse Theory and its application to homotopy theory, Lecture notes by A. van de Ven (mimeogpaphed), University of Bonn, I. NON-DEGENERATE FUNCTIONS §2. DEFINITIONS AND LEMMAS 5 $2. Definitions and Lemmas. The words "smooth" and "differentiable" will be used interchange- ably to mean differentiable of class.


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An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu Download PDF EPUB FB2

An Invitation to Morse Theory (Universitext): Nicolaescu, Liviu: : Books.3/5(1). An Invitation to Morse Theory (Universitext): Nicolaescu, Liviu: : by: Book Title An Invitation to Morse Theory Authors.

Liviu Nicolaescu; Series Title Universitext Copyright Publisher Springer-Verlag New York Copyright Holder Springer Science+Business Media, LLC eBook ISBN DOI / Softcover ISBN Series ISSN Edition Number 2 Number of Pages XVI, Brand: Springer-Verlag New York. The book is divided into three conceptually distinct parts.

The first part contains the foundations of Morse theory. The second part consists of applications of Morse theory over the reals, while the last part describes the basics and some applications of complex Morse theory, a.k.a.

Picard-Lefschetz theory. The book is divided into three conceptually distinct parts. The first part contains the foundations of Morse theory (over the reals). The second part consists of applications of Morse theory over the reals, while the last part describes the basics and some applications of complex Morse theory, a.k.a.

Picard-Lefschetz theory. The present book is divided into three conceptually distinct parts. In the rst part we lay the foundations of Morse theory (over the reals). The second part consists of applications of Morse theory over the reals, while the last part describes the basics and some applications of complex Morse theory, a.k.a.

Picard{Lefschetz theory. The present book is divided into three conceptually distinct parts. In the first part we lay the foundations of Morse theory (over the reals).

The second part consists of applications of Morse theory over the reals, while the last part describes the basics and some applications of complex Morse theory, a.k.a. Picard–Lefschetz theory. This book offers readers a taste of the "unreasonable effectiveness" of Morse theory.

It covers many of the most important topics in Morse theory along with applications. The book details topics such as Morse-Smale flows, min-max theory, moment maps and equivariant cohomology, and complex Morse theory.

图书An Invitation to Morse Theory 介绍、书评、论坛及推荐. This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology, and will also be of interest to researchers.

This is the first textbook to include topics such as Morse-Smale flows, Floer. An invitation to Morse theory. This self-contained treatment of Morse Theory focuses on applications and is intended for a graduate course on differential or algebraic topology. The book is divided into three conceptually distinct parts.

The first part contains the foundations of Morse theory (over the reals). Morse created his theory aroundsee []. The bible for Morse theory is Milnor's book [] and other textbooks are [,]. The idea of Morse homology is essentially contained in.

AN INVITATION TO MORSE THEORY ZHENGJUN LIANG The following work is dedicated to Shizi Liu. Abstract. The following report serves as a tangible proof of work for Math of University of California, Los Angeles, mentored by professor Kefeng Liu.

The o cial course name of Math is Individual Studies. Primarily based. An Invitation to Morse Theory (Universitext) - Kindle edition by Nicolaescu, Liviu. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading An Invitation to Morse Theory (Universitext). An Invitation to Morse Theory (Universitext) - Kindle edition by Liviu Nicolaescu. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading An Invitation to Morse Theory (Universitext).3/5(1). This book provides a useful introduction to Morse Theory. Coverage focuses on applications and includes topics such as Morse-Smale flows, min-max theory, moment maps and equivariant cohomology, and complex Morse theory.

springer, This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology. The book is divided into three conceptually distinct parts. The first part contains the foundations of Morse theory.

The second part consists of applications of Morse theory over the reals, while the last part describes the basics and some. Get this from a library. An invitation to Morse theory. [Liviu I Nicolaescu] -- "This self-contained treatment of Morse Theory focuses on applications and is intended for a graduate course on differential or algebraic topology.

The book is divided into three conceptually. "The book is a nicely written self-contained introduction to Morse theory a ]. will be useful for mathematicians of various levels, including graduate students and researchers." (Michael Farber, Zentralblatt MATH, Vol. ) "Nicolaescua (TM)s book starts with the basics of Morse theory over the reals a ].Author: Liviu Nicolaescu.

Get this from a library. An invitation to Morse theory. [Liviu I Nicolaescu] -- "This self-contained treatment of Morse Theory focuses on applications and is intended for a graduate course or algebraic topology. This is the first textbook to include topics such as Morse-Smale.

The book is divided into three conceptually distinct parts. The first part contains the foundations of Morse theory. The second part consists of applications of Morse theory over the reals, while the last part describes the basics and some applications of complex Morse theory, a.k.a.

Picard-Lefschetz : Springer New York. An Invitation to Morse Theory. Morse Functions. Pages The Topology of Morse Functions. Basics of Complex Morse Theory.

Exercises and Solutions. Back Matter Pages About this book Introduction This self-contained treatment of Morse Theory focuses on applications and is intended for a graduate course on differential or algebraic topology.Introduction to Morse Theory book.

Read reviews from world’s largest community for readers. In a very broad sense, spaces are objects of study in geometr /5(5).The further topics included in this book were more appealing to me, including the Morse theory of moment maps induced by Hamiltonian torus actions and the basics of Picard-Lefschetz theory.

Unfortunately it feels like this book underwent minimal editing when it was turned from lecture notes for a course into a book.3/5.