HAMILTONIAN CIRCLE ACTIONS ON EIGHT-DIMENSIONAL MANIFOLDS WITH MINIMAL FIXED SETS

• Published in: Transformation groups Vol. 22; no. 2; pp. 353 - 359
• Main Authors: JANG, D., TOLMAN, S.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.06.2017; Springer Nature B.V
• Subjects: Algebra; Isotropy; Lie Groups; Mathematics; Mathematics and Statistics; Topological Groups; Equivariant Cohomology; Complex Manifold; Chern Class; Closed Symplectic Manifold; Cohomology Ring

Let the circle act in a Hamiltonian fashion on a closed 8-dimensional sym-plectic manifold M with exactly five fixed points, which is the smallest possible fixed set. In [GS], L. Godinho and S . Sabatini show that if M satisfies an extra “positivity condition” then the isotropy weights at the fixed...