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math.AT2014
Extended simplicial rational Nomizu's Theorem
Hisashi Kasuya
For a torsion-free virtually polycyclic group , we give a canonical homomorphism form certain finite-dimensional cochain complex to the $\Q$-polynomial de Rham complex of the si…
math.AT2014
Twisted Lefschetz numbers of infra-solvmanifolds and algebraic groups
Hisashi Kasuya
Twisted Lefschetz numbers are extensions of the ordinary Lefschetz numbers for cohomologies with values in flat bundles. As a generalization of linearization formula for the ordina…
math.AT2014
Lefschetz coincidence numbers of solvmanifolds with Mostow conditions
Hisashi Kasuya
For any two continuous maps between two solvmanifolds of same dimension satisfying the Mostow condition, we give a technique of computation of the Lefschetz coincidence numbe…