Bordism of oriented 5-manifolds with T-structure and polarization

Piotr Mikrut

Colloquium Mathematicae (1999)

  • Volume: 79, Issue: 2, page 161-184
  • ISSN: 0010-1354

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Mikrut, Piotr. "Bordism of oriented 5-manifolds with T-structure and polarization." Colloquium Mathematicae 79.2 (1999): 161-184. <http://eudml.org/doc/210632>.

@article{Mikrut1999,
author = {Mikrut, Piotr},
journal = {Colloquium Mathematicae},
keywords = {polarization; T-structure; 5-manifold; bordism; -structure},
language = {eng},
number = {2},
pages = {161-184},
title = {Bordism of oriented 5-manifolds with T-structure and polarization},
url = {http://eudml.org/doc/210632},
volume = {79},
year = {1999},
}

TY - JOUR
AU - Mikrut, Piotr
TI - Bordism of oriented 5-manifolds with T-structure and polarization
JO - Colloquium Mathematicae
PY - 1999
VL - 79
IS - 2
SP - 161
EP - 184
LA - eng
KW - polarization; T-structure; 5-manifold; bordism; -structure
UR - http://eudml.org/doc/210632
ER -

References

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  1. [AR] A. Ash and L. Rudolph, Modular symbol and continued fractions in higher dimensions, Invent. Math. 55 (1979), 241-250. Zbl0426.10023
  2. [Br] G. E. Bredon, Compact Transformation Groups, Academic Press, New York, 1972. 
  3. [CFG] J. Cheeger, K. Fukaya and M. Gromov, Nilpotent structures and invariant metrics on collapsed manifolds, J. Amer. Math. Soc. 5 (1992), 327-372. Zbl0758.53022
  4. [CG1] J. Cheeger and M. Gromov, Collapsing Riemannian manifolds while keeping their curvature bounded I, J. Differential Geometry 23 (1986), 309-346. Zbl0606.53028
  5. [CG2] J. Cheeger and M. Gromov, Collapsing Riemannian manifolds while keeping their curvature bounded II, ibid. 32 (1990), 269-298. Zbl0727.53043
  6. [D] M. W. Davis, Smooth G-manifolds as collections of fiber bundles, Pacific J. Math. 77 (1978), 315-363. Zbl0403.57002
  7. [DJ] M. W. Davis and T. Januszkiewicz, Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. J. 62 (1991), 417-451. Zbl0733.52006
  8. [Ga] D. McGavran, Adjacent connected sums and torus actions, Trans. Amer. Math. Soc. 251 (1979), 235-254. Zbl0428.57013
  9. [GG] M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities, Springer, New York, 1973. Zbl0294.58004
  10. [G] M. Gromov, Volume and bounded cohomology, Publ. IHES 56 (1983), 213-307. 
  11. [GM] L. Guillou et A. Marin, Une extension d'un théorème de Rohlin sur la signature, in: A la recherche de la topologie perdue, Progr. Math. 62, Birkhäuser, Boston, 1986, 97-118. 
  12. [HJ] B. Hajduk and T. Januszkiewicz, Cobordism of polarized t-structures, Topo- logy 31 (1992), 559-570. Zbl0770.57018
  13. [K] W. van der Kallen, Homology stability for linear groups, Invent. Math. 60 (1980), 269-295. Zbl0415.18012
  14. [Mi1] P. Mikrut, Local T 2 actions on compact 4-manifolds, thesis, Polish Acad. Sci., Warszawa, 1995. 
  15. [Mi2] P. Mikrut, Bordism of oriented 4-manifolds with T-structure and polarization, in preparation. 
  16. [Mi3] P. Mikrut, Bordism of oriented 5-manifolds with local action of tori, in preparation. 
  17. [OR1] P. Orlik and F. Raymond, Actions of the torus on 4-manifolds I, Trans. Amer. Math. Soc. 152 (1970), 531-559. Zbl0216.20202
  18. [R] X. Rong, The existence of polarized F-structures on volume collapsed 4-mani- folds, Geom. Funct. Anal. 3 (1993), 474-501. Zbl0813.53030
  19. [Y] D. G. Yang, A residue theorem for secondary invariants of collapsing Riemannian manifolds, Ph.D. thesis, Stony Brook, 1986. 

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