scholarly journals A TWISTED HOMOLOGY FIBRATION CRITERION AND THE TWISTED GROUP-COMPLETION THEOREM

2014 ◽  
Vol 66 (1) ◽  
pp. 265-284 ◽  
Author(s):  
J. Miller ◽  
M. Palmer
Keyword(s):  
Group Completion ◽  
Twisted Group ◽  
Twisted Homology ◽  
Completion Theorem

Homology fibrations and the ?group-completion? theorem

1976 ◽  
Vol 31 (3) ◽  
pp. 279-284 ◽  
Author(s):  
D. McDuff ◽  
G. Segal
Keyword(s):  
Group Completion ◽  
Completion Theorem

scholarly journals Profinite rigidity for twisted Alexander polynomials

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Jun Ueki
Keyword(s):  
Rigidity Theorem ◽  
Homology Groups ◽  
Alexander Polynomials ◽  
Twisted Homology ◽  
Hyperbolic Volumes

AbstractWe formulate and prove a profinite rigidity theorem for the twisted Alexander polynomials up to several types of finite ambiguity. We also establish torsion growth formulas of the twisted homology groups in a {{\mathbb{Z}}}-cover of a 3-manifold with use of Mahler measures. We examine several examples associated to Riley’s parabolic representations of two-bridge knot groups and give a remark on hyperbolic volumes.

Completions of ordered magmas

1980 ◽  
Vol 3 (1) ◽  
pp. 105-116
Author(s):  
Bruno Courcelle ◽  
Jean-Claude Raoult
Keyword(s):  
Programming Languages ◽  
Semantics Of Programming Languages ◽  
Ordered Algebras ◽  
Completion Theorem

We give a completion theorem for ordered magmas (i.e. ordered algebras with monotone operations) in a general form. Particular instances of this theorem are already known, and new results follow. The semantics of programming languages is the motivation of such investigations.

Semi-Prime Twisted Group Rings

1976 ◽  
Vol s2-12 (4) ◽  
pp. 413-418 ◽  
Author(s):  
A. Reid
Keyword(s):  
Group Rings ◽  
Twisted Group

scholarly journals Twisted Homology of Quantum SL(2) - Part II

2009 ◽  
Vol 6 (1) ◽  
pp. 69-98 ◽  
Author(s):  
Tom Hadfield ◽  
Ulrich Krähmer
Keyword(s):  
Noncommutative Geometry ◽  
Hochschild Cohomology ◽  
Cyclic Homology ◽  
Coordinate Ring ◽  
Volume Form ◽  
Twisted Homology

AbstractWe complete the calculation of the twisted cyclic homology of the quantised coordinate ring = ℂq [SL(2)] of SL(2) that we began in [14]. In particular, a nontrivial cyclic 3-cocycle is constructed which also has a nontrivial class in Hochschild cohomology and thus should be viewed as a noncommutative geometry analogue of a volume form.

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