By Liviu Nicolaescu
This self-contained remedy of Morse concept specializes in purposes and is meant for a graduate direction on differential or algebraic topology, and also will be of curiosity to researchers. This is the 1st textbook to incorporate themes comparable to Morse-Smale flows, Floer homology, min-max thought, second maps and equivariant cohomology, and complicated Morse theory. The reader is anticipated to have a few familiarity with cohomology concept and differential and essential calculus on gentle manifolds.
Some good points of the second one version comprise additional purposes, equivalent to Morse concept and the curvature of knots, the cohomology of the moduli area of planar polygons, and the Duistermaat-Heckman formulation. the second one version additionally contains a new bankruptcy on Morse-Smale flows and Whitney stratifications, many new workouts, and diverse corrections from the 1st edition.
Read or Download An Invitation to Morse Theory (Universitext) PDF
Similar geometry & topology books
A primary direction in Computational Algebraic Geometry is designed for younger scholars with a few history in algebra who desire to practice their first experiments in computational geometry. Originating from a path taught on the African Institute for Mathematical Sciences, the e-book provides a compact presentation of the elemental idea, with specific emphasis on specific computational examples utilizing the freely on hand machine algebra approach, Singular.
Cohomology and homology modulo 2 is helping the reader snatch extra with no trouble the fundamentals of an incredible device in algebraic topology. in comparison to a extra basic method of (co)homology this fresh strategy has many pedagogical advantages:1. It leads extra quick to the necessities of the subject,2. a lack of symptoms and orientation concerns simplifies the theory,3.
Not like different analytic recommendations, the Homotopy research process (HAM) is self sustaining of small/large actual parameters. in addition to, it presents nice freedom to settle on equation kind and answer expression of similar linear high-order approximation equations. The HAM presents an easy technique to warrantly the convergence of answer sequence.
Delivering an summary of the state-of-the-art on rationality questions in algebraic geometry, this quantity offers an replace at the most modern developments. It bargains a accomplished creation to this attention-grabbing subject, and should definitely develop into a vital reference for anyone operating within the box.
- Set-Theoretic Topology
- The Real Projective Plane
- The Structure of the Real Line: 71 (Monografie Matematyczne)
- A Graduate Course in Algebra:Volume 2: 1
- Riemannsche Flächen (Springer-Lehrbuch) (German Edition)
Extra info for An Invitation to Morse Theory (Universitext)
An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu