Smoothings of Piecewise Linear Manifolds by Morris W Hirsch
The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology. Thus the book attacks the problem of existence and classification (up to isotopy) of differential structures compatible with a given combinatorial structure on a manifold. The problem is completely "solved" in the sense that it is reduced to standard problems of algebraic topology. The first part of the book is purely geometrical; it proves that every smoothing of the product of a manifold M and an interval is derived from an essentially unique smoothing of M. In the second part this result is used to translate the classification of smoothings into the problem of putting a linear structure on the tangent microbundle of M. This in turn is converted to the homotopy problem of classifying maps from M into a certain space PL/O. The set of equivalence classes of smoothings on M is given a natural abelian group structure.-
The Girth Ramsey Theorem
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Riemann Surfaces and Related Topics
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Seminar on the Atiyah-Singer Index Theorem
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Moments, Monodromy, and Perversity
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The Master Equation and the Convergence Problem in Mean Field Games
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Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
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Lectures on Curves on an Algebraic Surface
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Intermittent Convex Integration for the 3D Euler Equations
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Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik
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The Einstein-Klein-Gordon Coupled System
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A Hierarchy of Turing Degrees
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Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems
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Dynamics in One Complex Variable
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Elementary Differential Topology
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An Introduction to G-Functions
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Some Problems of Unlikely Intersections in Arithmetic and Geometry
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The Norm Residue Theorem in Motivic Cohomology
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The Structure of Groups with a Quasiconvex Hierarchy
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Lectures on P-Adic L-Functions
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Curvature and Betti Numbers
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Radically Elementary Probability Theory
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Period Spaces for p-divisible Groups
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Exponential Sums and Differential Equations
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Functional Operators, Volume 2
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Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom
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The Decomposition of Global Conformal Invariants
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Classification of Pseudo-reductive Groups
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Weyl Group Multiple Dirichlet Series
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Green's Function Estimates for Lattice Schroedinger Operators and Applications. (AM-158)
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Automata Studies
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Arithmetic and Geometry
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Stationary Processes and Prediction Theory
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Arithmetic Moduli of Elliptic Curves
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Flows on Homogeneous Spaces
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Seminar on Singularities of Solutions of Linear Partial Differential Equations
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Functional Operators, Volume 1
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Contributions to Fourier Analysis
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Unipotent Ideals and Harish-Chandra Bimodules
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Hoelder Continuous Euler Flows in Three Dimensions with Compact Support in Time
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Non-Archimedean Tame Topology and Stably Dominated Types
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The p-adic Simpson Correspondence
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The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures
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Contributions to the Theory of Games, Volume IV
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Seminar on Micro-Local Analysis
Barry Mazur is a Harvard University mathematician who resides in Cambridge, Massachusetts, with his wife, the writer Grace Dane Mazur.
| SKU | Unavailable |
| ISBN 13 | 9780691081458 |
| ISBN 10 | 069108145X |
| Title | Smoothings of Piecewise Linear Manifolds |
| Author | Morris W Hirsch |
| Series | Annals Of Mathematics Studies |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Princeton University Press |
| Year published | 1974-10-21 |
| Number of pages | 140 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |