Systolic freedom of loop space

Geometric and Functional Analysis

Volumn 11, Issue 1, 2001, Pages 60-73

  Katz, Mikhail G ^a   Suciu, Alexander I ^b  

^a BAR ILAN UNIVERSITY   (Israel)

^b NORTHEASTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035625312     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001672     Document Type: Article

References (24)

1. M. ARKOWITZ, Whitehead products as images of Pontrjagin products, Trans. Amer. Math. Soc. 158 (1971), 453-463.
2. I. BABENKO, Asymptotic invariants of smooth manifolds, Russian Acad. Sci. Izv. Math. 41 (1993), 1-38.
3. I. BABENKO, M. KATZ, Systolic freedom of orientable manifolds, Ann. Sci. École Norm. Sup. 31 (1998), 787-809; see http://arXiv.org/abs/math.DG/9707102.
4. I. BABENKO, M. KATZ, A. SUCIU, Volumes, middle-dimensional systoles, and Whitehead products, Math. Res. Lett. 5 (1998), 461-471; see http://arXiv.org/abs/math.DG/9707016.
5. L. BERARD-BERGERY, M. KATZ, On intersystolic inequalities in dimension 3, Geometric And Functional Analysis 4 (1994), 621-632.
6. M. BERGER, Systoles et applications selon Gromov, Séminaire N. Bourbaki, exposé 771, Astérisque 216 (1993), 279-310.
7. M. BERGER, Encounter with a geometer, Part I, Notices Amer. Math. Soc. 47:2 (2000), 183-194.
8. R. BOTT, L. TU, Differential Forms in Algebraic Topology, Springer, 1982.
9. H. FEDERER, Geometric Measure Theory, Springer, 1969.
10. 2-Systolic-Freedom, Geometry and Topology Monographs 2 (1999), Proceedings of the Kirbyfest, 113-123; see http://www.maths.warwick.ac.uk/gt/GTMon2/paper6.abs.html.
11. M. GROMOV, Filling Riemannian manifolds, J. Differential Geom. 18 (1983), 1-147.
12. M. GROMOV, Metric Structures for Riemannian and Non-Riemannian Spaces, Progress in Math. 152, Birkhäuser, Boston, MA, 1999.
13. R. HAIN, Iterated Integrals and Homotopy Periods, Memoirs of Amer. Math. Soc. 291, 1984.
14. J. HEBDA, The collars of a Riemannian manifold and stable isosystolic inequalities, Pacific J. Math. 121 (1986), 339-356.
15. J. HEBDA, Two geometric inequalities for the torus, Geom. Dedicata 38:1 (1991), 101-106.
16. M. KATZ, Counterexamples to isosystolic inequalities, Geom. Dedicata 57 (1995), 195-206.
17. M. KATZ, Appendix D to reference [G2] above.
18. M. KATZ, A. SUCIU, Volume of Riemannian manifolds, geometric inequalities, and homotopy theory, in Tel Aviv Topology Conference: Rothenberg Festschrift (M. Farber, W. Lück, S. Weinberger, eds.), Contemp. Math. 231, Amer. Math. Soc., Providence, RI (1999), 113-136; see http://arXiv.org/abs/math.DG/9810172.
19. F. MORGAN, Geometric Measure Theory. A Beginner's Guide, Academic Press, 1995.
20. R. MOSHER, M. TANGORA, Cohomology Operations and Applications in Homotopy Theory, Harper & Row, New York, 1968.
21. G. J. PORTER, Higher order Whitehead products and Postnikov systems, Ill. J. Math. 11 (1967), 414-416.
22. D. QUILLEN, Rational homotopy theory, Ann. of Math. 90 (1969), 205-295.
23. D. SULLIVAN, Genetics of homotopy theory and the Adams conjecture, Ann. of Math. 100 (1974), 1-79.
24. G.W. WHITEHEAD, Elements of Homotopy Theory, Grad. Texts in Math. 61, Springer-Verlag, New York, 1978.