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Characteristic Topological Invariants
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The higher characteristics w_m(G) for a finite abstract simplicial complex G are topological invariants that satisfy k-point Green function identities and can be computed in terms of Euler characteristic in the case of closed manifolds, where we give a new proof of w_m(G)=w_1(G). Also the sphere formula generalizes: for any simplicial complex, the total higher characteristics of unit spheres at even dimensional simplices is equal to the total higher characteristic of unit spheres at odd dimensional simplices.
Forward citations
Cited by 2 Pith papers
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Dehn Sommerville Manifolds
Dehn-Sommerville manifolds form a broad class of finite simplicial complexes that the paper claims to endow with Dehn-Sommerville face symmetries, level-set closure, chromatic bound 2q+2, and monoid closure under joins.
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Remarks about Connection and Dirac matrices
The eigenvalues of the connection and Dirac matrices of a finite simplicial complex are bounded above by the ordered connection and Dirac degrees, while the headline claim that the connection matrix dominates the Dira...
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