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Non-equivariantly, symplectic bordism has been developed extensively by Ray, Gorbunov, and specially S. Kochman in this memoir: http://dx.doi.org/10.1090/memo/0496 Yet the coefficients remain unknown outside of the range reached by Kochman.

Is there any development of equivariant symplectic bordism?

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  • $\begingroup$ You could try emailing Nige Ray (maths.manchester.ac.uk/~nige) (who was my advisor). I'm not sure if he has formally retired, if so it will be quite recent, but he is still active. $\endgroup$
    – Neil Strickland
    Commented Aug 26, 2018 at 16:08

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