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- W2019684054 abstract "This paper applies K-homology to solve the index problem for a class of hypoelliptic (but not elliptic) operators on contact manifolds. K-homology is the dual theory to K-theory. We explicitly calculate the K-cycle (i.e., the element in geometric K-homology) determined by any hypoelliptic Fredholm operator in the Heisenberg calculus. The index theorem of this paper precisely indicates how the analytic versus geometric K-homology setting provides an effective framework for extending formulas of Atiyah–Singer type to non-elliptic Fredholm operators." @default.
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- W2019684054 date "2014-01-01" @default.
- W2019684054 modified "2023-09-27" @default.
- W2019684054 title "K-homology and index theory on contact manifolds" @default.
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- W2019684054 doi "https://doi.org/10.1007/s11511-014-0114-5" @default.
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