9 results found
Bellamy G, Schedler T, 2018, Filtrations on Springer fiber cohomology and Kostka polynomials, Letters in Mathematical Physics, Vol: 108, Pages: 679-698, ISSN: 0377-9017
Etingof P, Schedler T, 2018, Poisson traces, D-modules, and symplectic resolutions, Letters in Mathematical Physics, Vol: 108, Pages: 633-678, ISSN: 0377-9017
Proudfoot N, Schedler T, 2017, Poisson–de Rham homology of hypertoric varieties and nilpotent cones, Selecta Mathematica, Vol: 23, Pages: 179-202, ISSN: 1022-1824
Bellamy G, Schedler T, 2016, On the (non)existence of symplectic resolutions of linear quotients, Mathematical Research Letters, Vol: 23, Pages: 1537-1564, ISSN: 1073-2780
Etingof P, Schedler T, 2016, Co-invariants of Lie algebras of vector fields on algebraic varieties, Asian Journal of Mathematics, Vol: 20, Pages: 795-868, ISSN: 1093-6106
Schedler T, 2016, Zeroth Hochschild homology of preprojective algebras over the integers, Advances in Mathematics, Vol: 299, Pages: 451-542, ISSN: 0001-8708
Schedler TJ, Bitoun T, On D-modules related to the b-function and Hamiltonian flow, Compositio Mathematica, ISSN: 0010-437X
Letfbe a quasi-homogeneous polynomial with an isolated singularity inCn. We com-pute the length of theD-modulesDfλ/Dfλ+1generated by complex powers offinterms of the Hodge filtration on the top cohomology of the Milnor fiber. Whenλ=−1we obtain one more than the reduced genus of the singularity (dimHn−2(Z,OZ) forZthe exceptional fiber of a resolution of singularities). We conjecture that this holds with-out the quasi-homogeneous assumption. We also deduce that the quotientDfλ/Dfλ+1is nonzero whenλis a root of theb-function off(which Saito recently showed failsto hold in the inhomogeneous case). We obtain these results by comparing theseD-modules to those defined by Etingof and the second author which represent invariantsunder Hamiltonian flow.
Schedler TJ, Ginzburg V, A new construction of cyclic homology, Proceedings of the London Mathematical Society
Schedler TJ, Pym B, Holonomic Poisson manifolds and deformations of elliptic algebras, Hitchin70, Publisher: Oxford University Press
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