Local properties of stably complex G -actions

Krzysztof Pawałowski

Mathematica Slovaca (1996)

  • Volume: 46, Issue: 1, page 83-100
  • ISSN: 0139-9918

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Pawałowski, Krzysztof. "Local properties of stably complex $G$-actions." Mathematica Slovaca 46.1 (1996): 83-100. <http://eudml.org/doc/32365>.

@article{Pawałowski1996,
author = {Pawałowski, Krzysztof},
journal = {Mathematica Slovaca},
keywords = {-CW complex; -vector bundle; equivariant thickening; stably complex -action; slice representation; normal representation; finite group actions},
language = {eng},
number = {1},
pages = {83-100},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Local properties of stably complex $G$-actions},
url = {http://eudml.org/doc/32365},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Pawałowski, Krzysztof
TI - Local properties of stably complex $G$-actions
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 1
SP - 83
EP - 100
LA - eng
KW - -CW complex; -vector bundle; equivariant thickening; stably complex -action; slice representation; normal representation; finite group actions
UR - http://eudml.org/doc/32365
ER -

References

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  4. DOVERMANN K. H.-PETRIE T.-SCHULTZ R., Transformatгon groups and fixed point dat, In: Group Actions on Manifolds. Contemp. Math. 36, Amer. Math. Soc, Providence, RI, 1985, pp. 159-189. (1985) MR0780964
  5. HSIANG W.-C.-HSIANG W.-Y., Some proЫems in differentiable transformation group, In: Proceedings of the Conference on Transformation Groups (New Orleans, 1967), Spгinger-Verlag, Berlin-Heidelberg-New York, 1968, pp. 223-234. (1967) MR0253368
  6. KAWAKUBO K., The Theory of Transformation Groups, Oxford Universitу Press, Oxford-New York-Тokуo, 1991. (1991) Zbl0744.57001MR1150492
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  8. OLIVER R., Fixed point sets of group actions on finite acyclic complexes, Comment. Math. Helv. 50 (1975), 155-177. (1975) Zbl0304.57020MR0375361
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  10. PAWALOWSKI K., Group actions with inequivalent representations at fixed point, Math. Z. 187 (1984), 29-47. (1984) MR0753418
  11. PAWALOWSKI K., Fixed point sets of smooth group actions on disks and Euclidean spaces, A survey. In: Geometric and Algebraic Topology. Banach Center Publ. 18, PWN - Polish Scientific Publishers, Warsaw, 1986, pp. 165-180. (1986) Zbl0649.57036MR0925864
  12. PAWALOWSKI K., Fixed point sets of smooth group actions on disks and Euclidean space, Topology 28 (1989), 273-289. (1989) MR1014462
  13. PAWALOWSKI K., Normal representations over the connected components of fixed point set, In: Transformation Groups. Proceedings (Osaka, 1987). Lecture Notes in Math. 1375. Springer, New York-Berlin, 1989, pp. 267-290. (1987) MR1006700
  14. PAWALOWSKI K., Nonlinear smooth group actions on disks, spheres, and Euclidean space, Max-Planck-Institut fur Mathematik, Bonn, MPI/89-30. 
  15. PAWALOWSKI K., Negative answers to Hsiangs' problem for smooth S1-action, Forschungsschwerpunkt Geometric Universitat Heidelberg, Heft Nr. 62. 
  16. PAWALOWSKI K., Normal representations for cyclic group actions on disks, spheres, and Euclidean space, Bull. Polish Acad. Sci. Math. 39 (1991), 75-82. (1991) MR1194710
  17. SERRE, J .-P., Linear Representations of Finite Groups, Grad. Texts in Math. 42, Springer, New York-Berlin, 1977. (1977) Zbl0355.20006MR0450380
  18. SMITH P. A., New results and old problems in finite transformation group, Bull. Amer. Math. Soc 66 (1960), 401-415. (1960) MR0125581

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