scholarly journals String Orientations of Simplicial Homology Manifolds

2010 ◽  
Vol 14 (3) ◽  
pp. 991-1000
Author(s):  
Jack Morava
Keyword(s):  
Simplicial Homology ◽  
Homology Manifolds

scholarly journals Topology of homology manifolds

1993 ◽  
Vol 28 (2) ◽  
pp. 324-329 ◽  
Author(s):  
J. Bryant ◽  
S. Ferry ◽  
W. Mio ◽  
S. Weinberger
Keyword(s):  
Homology Manifolds

Resolutions of Homology Manifolds: A Classification Theorem

1975 ◽  
Vol s2-11 (4) ◽  
pp. 474-480 ◽  
Author(s):  
Allan L. Edmonds ◽  
Ronald J. Stern
Keyword(s):  
Classification Theorem ◽  
Homology Manifolds

A Characterization of Homology Manifolds

1977 ◽  
Vol s2-16 (1) ◽  
pp. 149-159 ◽  
Author(s):  
Clint McCrory
Keyword(s):  
Homology Manifolds

scholarly journals The multistep homology of the simplex and representations of symmetric groups

2019 ◽  
Vol 169 (2) ◽  
pp. 231-253
Author(s):  
MARK WILDON
Keyword(s):  
Symmetric Group ◽  
Symmetric Groups ◽  
Explicit Construction ◽  
Fixed Size ◽  
Simplicial Homology ◽  
Chain Complexes ◽  
Basic Spin ◽  
Characteristic Two

AbstractThe symmetric group on a set acts transitively on the set of its subsets of a fixed size. We define homomorphisms between the corresponding permutation modules, defined over a field of characteristic two, which generalize the boundary maps from simplicial homology. The main results determine when these chain complexes are exact and when they are split exact. As a corollary we obtain a new explicit construction of the basic spin modules for the symmetric group.

scholarly journals Actions of arithmetic groups on homology spheres and acyclic homology manifolds

2013 ◽  
Vol 276 (1-2) ◽  
pp. 387-395 ◽  
Author(s):  
Martin R. Bridson ◽  
Fritz Grunewald ◽  
Karen Vogtmann
Keyword(s):  
Arithmetic Groups ◽  
Homology Manifolds
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