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$K$-homology and index theory on contact manifolds

Paul F. Baum Pennsylvania State University, University Park, PA, U.S.A Erik van Erp Dartmouth College, 6188 Kemeny Hall, Hanover, NH, U.S.A

K-Theory and Homology mathscidoc:1701.20003

Acta Mathematica, 213, (1), 1-48, 2013.2
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.
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@inproceedings{paul2013$k$-homology,
  title={$K$-homology and index theory on contact manifolds},
  author={Paul F. Baum, and Erik van Erp},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203403063526790},
  booktitle={Acta Mathematica},
  volume={213},
  number={1},
  pages={1-48},
  year={2013},
}
Paul F. Baum, and Erik van Erp. $K$-homology and index theory on contact manifolds. 2013. Vol. 213. In Acta Mathematica. pp.1-48. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203403063526790.
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