Index theory for skew-adjoint Fredholm operators

Michael F. Atiyah; Isadore M. Singer

Publications Mathématiques de l'IHÉS (1969)

  • Volume: 37, page 5-26
  • ISSN: 0073-8301

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Atiyah, Michael F., and Singer, Isadore M.. "Index theory for skew-adjoint Fredholm operators." Publications Mathématiques de l'IHÉS 37 (1969): 5-26. <http://eudml.org/doc/103903>.

@article{Atiyah1969,
author = {Atiyah, Michael F., Singer, Isadore M.},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {topology},
language = {eng},
pages = {5-26},
publisher = {Institut des Hautes Études Scientifiques},
title = {Index theory for skew-adjoint Fredholm operators},
url = {http://eudml.org/doc/103903},
volume = {37},
year = {1969},
}

TY - JOUR
AU - Atiyah, Michael F.
AU - Singer, Isadore M.
TI - Index theory for skew-adjoint Fredholm operators
JO - Publications Mathématiques de l'IHÉS
PY - 1969
PB - Institut des Hautes Études Scientifiques
VL - 37
SP - 5
EP - 26
LA - eng
KW - topology
UR - http://eudml.org/doc/103903
ER -

References

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  1. [1] M. F. ATIYAH, K-theory, Benjamin (1967). Zbl0159.53302MR36 #7130
  2. [2] M. F. ATIYAH, Algebraic Topology and Operators in Hilbert Space, Lectures in Modern Analysis and applications 1, Springer, 1969. Zbl0177.51701MR40 #2053
  3. [3] M. F. ATIYAH, Bott Periodicity and the Index of Elliptic Operators, Oxford Quart. J., 74 (1968), 113-140. Zbl0159.53501MR37 #3584
  4. [4] M. F. ATIYAH, R. BOTT and A. SHAPIRO, Clifford Modules, Topology, 3, Suppl. 1 (1964), 3-38. Zbl0146.19001MR29 #5250
  5. [5] R. G. BARTLE and L. M. GRAVES, Mappings between Function Spaces, Trans. Amer. Math. Soc., 72 (1952), 400-413. Zbl0047.10901MR13,951i
  6. [6] R. BOTT, Stable Homotopy of the Classical Groups, Ann. of Math., 70 (1959), 313-337. Zbl0129.15601MR22 #987
  7. [7] R. BROWN, Elements of Modern Topology, McGraw-Hill (1968). Zbl0159.52201MR37 #3563
  8. [8] J. DIXMIER, Les C*-algèbres et leurs représentations, Gauthier-Villars (1964). Zbl0152.32902MR30 #1404
  9. [9] M. KAROUBI (to appear). 
  10. [10] N. KUIPER, Contractibility of the Unitary Group in Hilbert Space, Topology, 3 (1964), 19-30. Zbl0129.38901MR31 #4034
  11. [11] J. MILNOR, Morse Theory, Ann. of Math. Studies, no. 51, Princeton (1963). Zbl0108.10401MR29 #634
  12. [12] J. MILNOR, On Spaces having the Homotopy Type of a CW-complex, Trans. Amer. Math. Soc., 90 (1957), 272-280. Zbl0084.39002MR20 #6700
  13. [13] G. B. SEGAL (to appear). 
  14. [14] N. STEENROD, The Topology of Fibre-Bundles, Princeton (1951). Zbl0054.07103MR12,522b
  15. [15] R. WOOD, Banach Algebras and Bott Periodicity, Topology, 4 (1966), 371-389. Zbl0163.36702MR32 #3062

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