About the macroscopic dimension of certain PSC–Manifolds
Algebraic and Geometric Topology, Tome 9 (2009) no. 1, pp. 21-27
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In this note we give a partial answer to Gromov’s question about macroscopic dimension filling of a closed spin PSC–Manifold’s universal covering.

DOI : 10.2140/agt.2009.9.21
Keywords: closed manifold, $KO$-characteristic classes, scalar curvature

Bolotov, Dmitry  1

1 B Verkin Institute for Low Temperature Physics, Lenina Ave 47, Kharkov 61103, Ukraine
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Bolotov, Dmitry. About the macroscopic dimension of certain PSC–Manifolds. Algebraic and Geometric Topology, Tome 9 (2009) no. 1, pp. 21-27. doi: 10.2140/agt.2009.9.21

[1] D V Bolotov, Macroscopic dimension of 3–manifolds, Math. Phys. Anal. Geom. 6 (2003) 291

[2] D V Bolotov, Gromov's macroscopic dimension conjecture, Algebr. Geom. Topol. 6 (2006) 1669

[3] M Gromov, Positive curvature, macroscopic dimension, spectral gaps and higher signatures, from: "Functional analysis on the eve of the 21st century, Vol. II (New Brunswick, NJ, 1993)", Progr. Math. 132, Birkhäuser (1996) 1

[4] M Gromov, H B Lawson, Positive curvature and the Dirac operator on complete Riemannian manifolds, Publ. Math. I.H.E.S 58 (1983) 295

[5] N Hitchin, Harmonic spinors, Advances in Math. 14 (1974) 1

[6] J Rosenberg, $C^*$–algebras, positive scalar curvature, and the Novikov conjecture. III, Topology 25 (1986) 319

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