Morse Homology with Differential Graded Coefficients: 360 (Progress in Mathematics, 360) - Image 1

£107.85

Birkhauser Morse Homology with Differential Graded Coefficients: 360 (Progress in Mathematics, 360)

Name: Morse Homology with Differential Graded Coefficients: 360 (Progress in Mathematics, 360)
Brand: Birkhauser
Price: 107.85 GBP
Availability: InStock

Geometry & Topology

This is the most expensive it has ever been. Walk away.

£108 today · previous high £108 · all-time low £95

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 8 days · 8 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 8 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £95 (7 days, 87.5%)

Price range: £95 - £108

Price levels: 2 different prices over 8 days

Description

The key geometric objects underlying Morse homology are the moduli spaces of connecting gradient trajectories between critical points of a Morse function. The basic question in this context is the following: How much of the topology of the underlying manifold is visible using moduli spaces of connecting trajectories? The answer provided by “classical” Morse homology as developed over the last 35 years is that the moduli spaces of isolated connecting gradient trajectories recover the chain homotopy type of the singular chain complex. The purpose of this monograph is to extend this further: the fundamental classes of the compactified moduli spaces of connecting gradient trajectories allow the construction of a twisting cocycle akin to Brown’s universal twisting cocycle. As a consequence, the authors define (and compute) Morse homology with coefficients in any differential graded (DG) local system. As particular cases of their construction, they retrieve the singular homology of the total space of Hurewicz fibrations and the usual (Morse) homology with local coefficients. A full theory of Morse homology with DG coefficients is developed, featuring continuation maps, invariance, functoriality, and duality. Beyond applications to topology, this is intended to serve as a blueprint for analogous constructions in Floer theory. The new material and methods presented in the text will be of interest to a broad range of researchers in topology and symplectic topology. At the same time, the authors are particularly careful to give gentle introductions to the main topics and have structured the text so that it can be easily read at various degrees of detail. As such, the book should already be accessible and of interest to graduate students with a general interest in algebra and topology.

Product Specifications

Brand: Birkhauser
Format: hardcover
ASIN: 3031880196
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 30 May 2025
Listed Since: 15 February 2025

Barcode

No barcode data available

Birkhauser Morse Homology with Differential Graded Coefficients: 360 (Progress in Mathematics, 360)

This is the most expensive it has ever been. Walk away.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Perturbed Gradient Flow Trees and A∞-algebra Structures in Morse Cohomology: 6 (Atlantis Studies in Dynamical Systems, 6)

Virtual Fundamental Cycles in Symplectic Topology (Mathematical Surveys and Monographs)

Morse Theory and Floer Homology (Universitext)

J-holomorphic Curves and Symplectic Topology: Second Edition (American Mathematical Society) (Colloquium Publications)

Problems on Mapping Class Groups and Related Topics (Proceedings of Symposia in Pure Mathematics)

Lusternik-schnirelmann Category (Mathematical Surveys & Monographs)

The Local Structure of Algebraic K-Theory: 18 (Algebra and Applications, 18)

Springer Algebraic and Complex Geometry - Klaus Hulek 60th

K3 Surfaces and Their Moduli: 315 (Progress in Mathematics, 315)

Triangulated Categories of Mixed Motives (Springer Monographs in Mathematics)

An Invitation to Morse Theory (Universitext)

Applications of Polyfold Theory: No. 1: The Polyfolds of Gromov-Witten Theory (Memoirs of the American Mathematical Society)

Handbook of Geometry and Topology of Singularities VII

Equivariant Poincaré Duality on G-Manifolds: Equivariant Gysin Morphism and Equivariant Euler Classes: 2288 (Lecture Notes in Mathematics, 2288)

Topological Modular Forms (Mathematical Surveys and Monographs)

The Adams Spectral Sequence for Topological Modular Forms (Mathematical Surveys and Monographs)

The Geometric Hopf Invariant and Surgery Theory (Springer Monographs in Mathematics)

Homological Mirror Symmetry and Tropical Geometry: 15 (Lecture Notes of the Unione Matematica Italiana, 15)

Classifying Spaces of Degenerating Polarized Hodge Structures (Annals of Mathematics Studies, 169)

Frobenius Manifolds: Quantum Cohomology and Singularities: 36 (Aspects of Mathematics, 36)

Networking Seifert Surgeries on Knots (Memoirs of the AMS) (Memoirs of the American Mathematical Society)

Steenrod Squares in Spectral Sequences (Mathematical Surveys & Monographs)

Analytic D-Modules and Applications: 247 (Mathematics and Its Applications, 247)

Higher Structures in Geometry and Physics: In Honor of Murray Gerstenhaber and Jim Stasheff: 287 (Progress in Mathematics, 287)