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Birkhauser Morse Homology with Differential Graded Coefficients

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Description

Morse Homology with Differential Graded Coefficients (Progress in Mathematics, 360) by Birkhauser explores the geometric objects underlying Morse homology. This monograph focuses on the moduli spaces of connecting gradient trajectories between critical points of a Morse function. It addresses the fundamental question of how much of the topology of an underlying manifold is visible through these moduli spaces of connecting trajectories. While classical Morse homology recovers the chain homotopy type of the singular chain complex using isolated connecting gradient trajectories, this work aims to extend those concepts further. This text serves as an advanced resource for those studying geometry and topology, specifically looking at the relationship between Morse functions and manifold topology.

Key Features

This Birkhauser publication is part of the Progress in Mathematics series, volume 360.

The text examines the moduli spaces of connecting gradient trajectories between critical points.

It explores how the topology of an underlying manifold is visible through moduli spaces.

The monograph extends the principles of classical Morse homology developed over the last 35 years.

This book provides a deep look into the relationship between Morse functions and singular chain complexes.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 May 2025
Listed Since
15 February 2025

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