Visit our Christmas Gift Finder
Click & Collect from 2 Hours
Last Christmas Delivery Dates
Free UK Standard Delivery on orders £20 and over Order in time for Christmas 18th December 2nd Class | 19th December 1st Class Free Click & Collect to shops From 2 hours of your order*
Topological Modular Forms - Mathematical Surveys and Monographs (Hardback)
  • Topological Modular Forms - Mathematical Surveys and Monographs (Hardback)
zoom

Topological Modular Forms - Mathematical Surveys and Monographs (Hardback)

(editor), (editor), (editor), (editor)
£98.95
Hardback 315 Pages / Published: 30/12/2014
  • We can order this

Usually dispatched within 2 weeks

  • This item has been added to your basket
The theory of topological modular forms is an intricate blend of classical algebraic modular forms and stable homotopy groups of spheres. The construction of this theory combines an algebro-geometric perspective on elliptic curves over finite fields with techniques from algebraic topology, particularly stable homotopy theory. It has applications to and connections with manifold topology, number theory, and string theory.

This book provides a careful, accessible introduction to topological modular forms. After a brief history and an extended overview of the subject, the book proper commences with an exposition of classical aspects of elliptic cohomology, including background material on elliptic curves and modular forms, a description of the moduli stack of elliptic curves, an explanation of the exact functor theorem for constructing cohomology theories, and an exploration of sheaves in stable homotopy theory. There follows a treatment of more specialized topics, including localization of spectra, the deformation theory of formal groups, and Goerss--Hopkins obstruction theory for multiplicative structures on spectra. The book then proceeds to more advanced material, including discussions of the string orientation, the sheaf of spectra on the moduli stack of elliptic curves, the homotopy of topological modular forms, and an extensive account of the construction of the spectrum of topological modular forms. The book concludes with the three original, pioneering and enormously influential manuscripts on the subject, by Hopkins, Miller, and Mahowald.

Publisher: American Mathematical Society
ISBN: 9781470418847
Number of pages: 315
Dimensions: 254 x 178 mm

You may also be interested in...

Measurement
Added to basket
£15.95
Paperback
Euclid's Elements
Added to basket
£21.99
Paperback
Platonic and Archimedean Solids
Added to basket
Introduction to Topology
Added to basket
Elementary Differential Geometry
Added to basket
Islamic Design
Added to basket
£5.99
Paperback
Trigonometry For Dummies
Added to basket
An Introduction to Manifolds
Added to basket
Introduction to Smooth Manifolds
Added to basket
Fractals: A Very Short Introduction
Added to basket
Mathematical Origami
Added to basket
Symmetry: A Very Short Introduction
Added to basket
Maths for Science
Added to basket
£35.99
Paperback
Euclid's Elements
Added to basket
£31.99
Hardback

Reviews

Please sign in to write a review

Your review has been submitted successfully.