Isomorphism of de Rham cohomology and relative Hochschild cohomology of differential operators

T. J. Harding; F. J. Bloore

Annales de l'I.H.P. Physique théorique (1993)

  • Volume: 58, Issue: 4, page 433-452
  • ISSN: 0246-0211

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Harding, T. J., and Bloore, F. J.. "Isomorphism of de Rham cohomology and relative Hochschild cohomology of differential operators." Annales de l'I.H.P. Physique théorique 58.4 (1993): 433-452. <http://eudml.org/doc/76613>.

@article{Harding1993,
author = {Harding, T. J., Bloore, F. J.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {de Rham cohomology; Hochschild cohomology; differential operators},
language = {eng},
number = {4},
pages = {433-452},
publisher = {Gauthier-Villars},
title = {Isomorphism of de Rham cohomology and relative Hochschild cohomology of differential operators},
url = {http://eudml.org/doc/76613},
volume = {58},
year = {1993},
}

TY - JOUR
AU - Harding, T. J.
AU - Bloore, F. J.
TI - Isomorphism of de Rham cohomology and relative Hochschild cohomology of differential operators
JO - Annales de l'I.H.P. Physique théorique
PY - 1993
PB - Gauthier-Villars
VL - 58
IS - 4
SP - 433
EP - 452
LA - eng
KW - de Rham cohomology; Hochschild cohomology; differential operators
UR - http://eudml.org/doc/76613
ER -

References

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  1. [1] G. Hochschild, Relative Homological Algebra, Trans. Am. Math. Soc., Vol. 82, 1956, pp. 246-269. Zbl0070.26903MR80654
  2. [2] G. Hochschild, B. Kostant and A. Rosenberg, Differential Forms on Regular Affine Algebras, Trans. Am. Math. Soc., Vol. 102, 1962, pp. 383-408. Zbl0102.27701MR142598
  3. [3] J.-L. Brylinski and E. Getzler, The Homology of Algebras of Pseudo-Differential Symbols and the Non-Commutative Residue, K-Theory, Vol. 1, 1987, pp. 385-403. Zbl0646.58026MR920951
  4. [4] M. Wodzicki, Cyclic Homology of Differential Operators, Duke Math. J., Vol. 54, No. 2, 1987, pp. 641-647. Zbl0635.18010MR899408
  5. [5] T.J. Harding and F.J. Bloore, A Fresh Approach to the Poincaré-Cartan Form for a Linear p.d.e. and a Map Between Cohomologies, 4th International Conference on Differential Geometry and its Applications, 1989, Brno, Czechoslovakia, J. JANYŠKA and D. KRUPKA Eds., World Scientific, 1990, pp. 220-229. Zbl0793.58003MR1062024
  6. [6] F.J. Bloore and J. Underhill, The Probability Current in Geometric Quantisation, XV International Conference on Differential Geometrical Methods in Theoretical Physics, 1986, Clausthal, H. D. DOEBNER and J. D. HENNIG Eds., World Scientific, 1987, pp. 219-226. Zbl0707.58023MR1023197
  7. [7] S. Maclane, Homology (3rd corrected printing), Springer-Verlag, 1975. MR349792
  8. [8] P.J. Hilton and S. Wylie, Homology theory, Cambridge, 1960. Zbl0091.36306

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