On the cohomology of the classifying space of the gauge group over some 4-complexes

Gregor Masbaum

Bulletin de la Société Mathématique de France (1991)

  • Volume: 119, Issue: 1, page 1-31
  • ISSN: 0037-9484

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Masbaum, Gregor. "On the cohomology of the classifying space of the gauge group over some 4-complexes." Bulletin de la Société Mathématique de France 119.1 (1991): 1-31. <http://eudml.org/doc/87615>.

@article{Masbaum1991,
author = {Masbaum, Gregor},
journal = {Bulletin de la Société Mathématique de France},
keywords = {cohomology algebra; classifying space; gauge group},
language = {eng},
number = {1},
pages = {1-31},
publisher = {Société mathématique de France},
title = {On the cohomology of the classifying space of the gauge group over some 4-complexes},
url = {http://eudml.org/doc/87615},
volume = {119},
year = {1991},
}

TY - JOUR
AU - Masbaum, Gregor
TI - On the cohomology of the classifying space of the gauge group over some 4-complexes
JO - Bulletin de la Société Mathématique de France
PY - 1991
PB - Société mathématique de France
VL - 119
IS - 1
SP - 1
EP - 31
LA - eng
KW - cohomology algebra; classifying space; gauge group
UR - http://eudml.org/doc/87615
ER -

References

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  1. [AB] ATIYAH (M.F.), BOTT (R.). — The Yang-Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser. A, t. 303, 1982, p. 523-615. Zbl0509.14014MR85k:14006
  2. [D1] DONALDSON (S.K.). — The Geometry of 4-Manifolds, Proceedings of the International Congress of Mathematicians, Berkeley, 1986, p. 43-54. Zbl0673.57016MR89d:57002
  3. [D2] DONALDSON (S.K.). — Connections, cohomology and the intersection forms of 4-manifolds, J. Differential Geom., t. 24, 1986, p. 275-341. Zbl0635.57007MR88g:57033
  4. [D3] DONALDSON (S.K.). — Polynomial invariants for smooth 4-manifolds, Topology, (In press). Zbl0715.57007
  5. [FU] FREED (D.) and UHLENBECK (K.). — Instantons and 4-manifolds, Math. Sci. Res. Inst. Publ., Vol. 1, Springer, New York, 1984. Zbl0559.57001MR86c:57031
  6. [CLM] COHEN (F.), LADA (T.) and MAY (J.P.). — The Homology of Iterated Loop Spaces, Lecture Notes in Mathematics, Vol. 533, Springer, 1976. Zbl0334.55009MR55 #9096
  7. [K] KOCHMAN (S.). — Homology of the Classical Groups over the Dyer-Lashof-Algebra, Trans. Amer. Math. Soc., t. 185, 1973, p. 83-136. Zbl0271.57013MR48 #9719
  8. [M1] MASBAUM (G.). — Sur l'algèbre de cohomologie entière du classifiant du groupe de jauge, C. R. Acad. Sci. Paris, t. 307, I, 1988, p. 339-342. Zbl0653.57006MR90e:55032
  9. [M2] MASBAUM (G.). — Thesis, Nantes, 1989. 
  10. [M3] MASBAUM (G.). — Sur la cohomologie du classifiant du groupe de jauge sur certains 4-complexes, C. R. Acad. Sci. Paris, t. 310, I, 1990, p. 115-118. Zbl0707.57012MR91k:57020
  11. [Mi] MILGRAM (R. J.). — Iterated Loop Spaces, Ann. of Math., t. 84, 1966, p. 386-403. Zbl0145.19901MR34 #6767
  12. [MH] MILNOR (J.) and HUSEMOLLER (D.). — Symmetric bilinear forms, Ergebnisse der Mathematik 73, Springer, 1973. Zbl0292.10016MR58 #22129
  13. [MS] MILNOR (J.) and STASHEFF (J.). — Lectures on characteristic classes, Ann. of Math. Studies 197, Princeton University Press, 1974. MR55 #13428
  14. [S] SELICK (P.). — Odd Primary Torsion in πk(S3), Topology, t. 17, 1978, p. 407-412. Zbl0403.55021MR80c:55010
  15. [T] TODA (H.). — Generalized Whitehead products and homotopy groups of spheres, J. Inst. Polytechn. Osaka City Univ., t. 3, 1952, p. 43-82. Zbl0049.12903MR15,732b

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