In 3-dimensional topology, a part of the mathematical field of geometric topology, the Casson invariant is an integer-valued invariant of oriented integral homology 3-spheres, introduced by Andrew Casson.
Kevin Walker (1992) found an extension to rational homology 3-spheres, called the Casson–Walker invariant, and Christine Lescop (1995) extended the invariant to all closed oriented 3-manifolds.
geometric topology, the Cassoninvariant is an integer-valued invariant of oriented integral homology 3-spheres, introduced by Andrew Casson. Kevin Walker (1992)...
the manifold Hauptvermutung, introduced the Cassoninvariant, a modern invariant for 3-manifolds, and Casson handles, used in Michael Freedman's proof of...
The Rokhlin invariant is a Z / 2 Z {\displaystyle \mathbb {Z} /2\mathbb {Z} } -valued invariant of homology 3-spheres. The Cassoninvariant is an integer...
Donaldson's theorem), and in fact, combined with the work of Andrew Casson on the Cassoninvariant, this shows that the E 8 {\displaystyle E_{8}} manifold is not...
1988b). It contains some new topological invariants along with some new ideas: Cassoninvariant, Donaldson invariant, Gromov's theory, Floer homology and...
p. 81. ISBN 9789814733809. Retrieved 6 July 2018. Ranicki, Andrew A.; Casson, Andrew J.; Sullivan, Dennis P.; Armstrong, M.A.; Rourke, Colin P.; Cooke...
generalization of the Cassoninvariant because the Euler characteristic of the Floer homology agrees with the Cassoninvariant. Soon after Floer's introduction...
formulated by Andrew Casson and Dennis Sullivan in 1967–69 (originally in the simply-connected case), using the Rochlin invariant and the cohomology group...
1991 Andrew Casson for: his work on the topology of low dimensional manifolds and specifically for the discovery of an integer valued invariant of homology...
CS1 maint: others (link) Thomas, R. P. (2001-06-11). "A holomorphic Cassoninvariant for Calabi-Yau 3-folds, and bundles on K3 fibrations". arXiv:math/9806111...
{\displaystyle =\Delta (-1)} ) is a square number. The signature is an invariant of concordance classes and the signature of slice knots is zero. Furthermore...
of California, Berkeley under the supervision of Robion Kirby (An invariant for Casson handles, disks and knot concordants). He is now a professor at the...
little-used in the classification of manifolds, because these invariant are homotopy-invariant, and hence don't help with the finer classifications above...
4-manifolds (including the computation of Donaldson and Seiberg-Witten invariants) with links to gauge theory, knot theory, and symplectic geometry. He...
Burns, Geodesic flows on the 2-sphere Andreas Floer, Instantons and Casson'sinvariant Hermann Karcher, Embedded minimal surfaces in the 3-sphere Jürgen...
Kuperberg studied at the University of California, Berkeley under Andrew Casson, receiving a Ph.D. in geometric topology and quantum algebra in 1991. From...
geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a certain...
modification of the Whitney trick can work in 4 dimensions, and is called Casson handles – because there are not enough dimensions, a Whitney disk introduces...
Cheeger, J.; Simons, J. (1973). "Differential characters and geometric invariants". In Geometry and Topology (College Park, Md., 1983/84), Lecture Notes...
not until a few decades later that the field was rejuvenated by Andrew Casson and Cameron Gordon (1987), primarily through their concept of strong irreducibility...
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