Signature via Novikov numbers
classification
🧮 math.SG
math.ATmath.DG
keywords
fixednovikovnumberssignatureactionalternatingcircleclass
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It is shown that the signature of a manifold with a symplectic circle action having only isolated fixed points, equals the alternating sum of the Novikov numbers corresponding to the cohomology class of the generalized moment map. The same is true for more general fixed point sets.
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