The projective-space generation conjecture for isolated fixed-point actions
The projective-space generation conjecture for isolated fixed-point actions
Let be complex -representations, and consider stably complex actions with isolated fixed points. Two weights are relatively prime when their greatest common divisor is one.
Projective-space generation conjecture. Stably complex actions with isolated fixed points up to bordism are generated by linear actions on projective spaces
where the weights of the are relatively prime.
This conjecture proposes that linear projective actions generate the relevant geometric bordism classes. The source points to an example in Theorem 1.6 of Sinha (2000), but does not state that the conjecture has been resolved.
Sources & referencesView supporting material
Primary source
Dev P. Sinha, “Bordism of semi-free S^1 actions”, arXiv:math/0303100 (2004).
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