Casson's Invariant for Oriented Homology Three-Spheres: An by Selman Akbulut

By Selman Akbulut

Within the spring of 1985, A. Casson introduced an attractive invariant of homology 3-spheres through buildings on illustration areas. This invariant generalizes the Rohlin invariant and provides miraculous corollaries in low-dimensional topology. within the fall of that very same 12 months, Selman Akbulut and John McCarthy held a seminar in this invariant. those notes grew out of that seminar. The authors have attempted to stay as regards to Casson's unique define and continue by way of giving wanted info, together with an exposition of Newstead's effects. they've got frequently selected classical concrete methods over basic tools. for instance, they didn't try to supply gauge idea factors for the result of Newstead; as an alternative they his unique ideas.

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