On the cohomology of twistor flag spaces

G. M. Henkin; Yu. I. Manin

Compositio Mathematica (1981)

  • Volume: 44, Issue: 1-3, page 103-111
  • ISSN: 0010-437X

How to cite


Henkin, G. M., and Manin, Yu. I.. "On the cohomology of twistor flag spaces." Compositio Mathematica 44.1-3 (1981): 103-111. <http://eudml.org/doc/89511>.

author = {Henkin, G. M., Manin, Yu. I.},
journal = {Compositio Mathematica},
keywords = {cohomology of twistor flag spaces; Yang-Mills equations; Dirac equations; Stein domain; holomorphic vector bundle; holomorphic connection; Grassmannian},
language = {eng},
number = {1-3},
pages = {103-111},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {On the cohomology of twistor flag spaces},
url = {http://eudml.org/doc/89511},
volume = {44},
year = {1981},

AU - Henkin, G. M.
AU - Manin, Yu. I.
TI - On the cohomology of twistor flag spaces
JO - Compositio Mathematica
PY - 1981
PB - Sijthoff et Noordhoff International Publishers
VL - 44
IS - 1-3
SP - 103
EP - 111
LA - eng
KW - cohomology of twistor flag spaces; Yang-Mills equations; Dirac equations; Stein domain; holomorphic vector bundle; holomorphic connection; Grassmannian
UR - http://eudml.org/doc/89511
ER -


  1. [1] G.M. Henkin, Yu.I. Manin.Twistor description of classical Yang-Mills-Dirac fields, Phys. Letters, 95B, N 3,4 (1980), 405-408. MR590021
  2. [2] M.F. Atiyah, Geometry of Yang-Mills fields, Lezioni Fermiani, Pisa1979. Zbl0435.58001MR554924
  3. [3] A. Douady, J.L. Verdier, Les equations de Yang-Mills, Seminaire ENS 1977-1978, Asterisque71-72, 1980. Zbl0416.00010MR589891
  4. [4] M.G. Eastwood, R. Penrose, R.O. Wells, Cohomology and massless fields (preprint), 1980. Zbl0465.58031MR603497
  5. [5] J. Isenberg, Ph. B. Yasskin, P.S. Green, Non-self-dual gauge fields, Phys. Letters, 78B, N 4 (1978), 464-468. 
  6. [6] Yu. I. Manin, Gauge fields and holomorphic geometry, in: Sovremennye Problemy Matematiki, Vol. 17, Moscow, VINITI, 1981 (in russian). Zbl0486.53051MR628975
  7. [7] G.M. Henkin, Yang-Mills equations as Cauchy-Riemann equations on the twistor space, Doklady AN SSSR,255 (1980), 844-847. MR600756
  8. [8] E. Witten, An interpretation of classical Yang-Mills theory, Phys. Lett.78B (1978), 394-398. 
  9. [9] A. Andreotti, H. Grauert, Théorèmes pour la cohomologie des espaces complexes, Bull. Soc. Math. France, 90 (1962), 193-259. Zbl0106.05501MR150342
  10. [10] A. Andreotti, F. Norguet, La convexité holomorphe dans l'èspace analytique des cycles d'une varièté algébrique, Ann. di Scuola Normale Superiore di Pisa, Vol. XXI, f. 1 (1967), 31-80. Zbl0176.04001MR239118

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