Casson's Invariant for Oriented Homology Three-Spheres
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3-manifold
3-sphere
A01=John D. McCarthy
A01=Selman Akbulut
Addition
Alexander polynomial
Algebraic structure
Ambient isotopy
Arf invariant
Author_John D. McCarthy
Author_Selman Akbulut
Automorphism
Category=PBP
Cohomology
Commutative diagram
Conjugacy class
Corollary
Cotangent space
Dehn surgery
Dehn twist
Diagonal matrix
Diagram (category theory)
Diffeomorphism
Differentiable manifold
E8 manifold
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Explanation
Exponential map (Lie theory)
Exponential map (Riemannian geometry)
Fiber bundle
Fibration
Gauge theory
Heegaard splitting
Homeomorphism
Homology sphere
Homomorphism
Homotopy
Integer
Intersection form (4-manifold)
Intersection number (graph theory)
Irreducible representation
Knot invariant
Lie algebra
Lie group
Linear combination
Linear map
Low-dimensional topology
Manifold
Mathematical induction
Natural number
Neighbourhood (mathematics)
Normal (geometry)
Notation
Parity (mathematics)
Pointwise
Polynomial
Pullback
Quaternion
Quotient space (linear algebra)
Result
Rewriting
Second derivative
Seifert surface
Simplicial complex
Sphere
Submanifold
Subset
Summation
Support (mathematics)
Theorem
Topological manifold
Torus
Transcendental number
Unknot
Vector space
Writing
Product details
- ISBN 9780691607511
- Weight: 28g
- Dimensions: 152 x 229mm
- Publication Date: 14 Jul 2014
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These notes grew out of that seminar. The authors have tried to remain close to Casson's original outline and proceed by giving needed details, including an exposition of Newstead's results. They have often chosen classical concrete approaches over general methods. For example, they did not attempt to give gauge theory explanations for the results of Newstead; instead they followed his original techniques. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions.
The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
