scholarly journals Classification of stable homotopy types with torsion-free homology

Topology ◽  
2001 ◽  
Vol 40 (4) ◽  
pp. 789-821 ◽  
Author(s):  
Hans-Joachim Baues ◽  
Yuri Drozd
Keyword(s):  
Stable Homotopy ◽  
Homotopy Types ◽  
Torsion Free

scholarly journals COMBINATORIAL AND TOPOLOGICAL PHASE STRUCTURE OF NON-PERTURBATIVE n-DIMENSIONAL QUANTUM GRAVITY

1992 ◽  
Vol 06 (11n12) ◽  
pp. 2109-2121
Author(s):  
M. CARFORA ◽  
M. MARTELLINI ◽  
A. MARZUOLI
Keyword(s):  
Quantum Gravity ◽  
Phase Structure ◽  
Gravity Models ◽  
Topological Phase ◽  
Geometrical Characterization ◽  
Homotopy Types ◽  
Geometrical Constraints ◽  
Riemannian Geometries

We provide a non-perturbative geometrical characterization of the partition function of ndimensional quantum gravity based on a rough classification of Riemannian geometries. We show that, under natural geometrical constraints, the theory admits a continuum limit with a non-trivial phase structure parametrized by the homotopy types of the class of manifolds considered. The results obtained qualitatively coincide, when specialized to dimension two, with those of two-dimensional quantum gravity models based on random triangulations of surfaces.

scholarly journals Classification of Irreducible Holonomies of Torsion-Free Affine Connections

1999 ◽  
Vol 150 (1) ◽  
pp. 77 ◽  
Author(s):  
Sergei Merkulov ◽  
Lorenz Schwachhofer
Keyword(s):  
Affine Connections ◽  
Torsion Free

The classification of 2 and 3 torsion free polyhedra

2015 ◽  
Vol 31 (11) ◽  
pp. 1659-1682 ◽  
Author(s):  
Jian Zhong Pan ◽  
Zhong Jian Zhu
Keyword(s):  
Torsion Free
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