Essentially normal Hilbert modules and K-homology

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Geometric Arveson-Douglas conjecture (2013, background): “, pm are monomials; by Guo and Wang [17] for m = 1 or d ≤ 3; by Douglas and Wang [9] when m = 1 and M is a submodule of the Bergman space L(2)hol(B) on B (instead of H(2) d) generated by an arbitrary, not necessarily homogeneous polynomial p; by Fang and Xia [14] for submodules of the same type in c”
Operator Theory and Function Theory in Drury–Arveson Space and Its Quotients (2013, background): “Wang have found some evidence for this conjecture, see [74, 75].”
Essentially Reductive Hilbert Modules II (2006, background): “In this note, based largely on the methods of Guo and Wang, we extend this latter result in two ways.”
A harmonic analysis approach to essential normality of principal submodules (2011, methodology): “Hence a different approach was used in [18], but one which was far from transparent.”