Generalized orientations and the Bloch invariant

Autor:	Jérôme Scherer, Michel Matthey, Wolfgang Pitsch
Rok vydání:	2006
Předmět:	Algebra and Number Theory Computer Science::Information Retrieval Invariant manifold Mathematical analysis Hyperbolic manifold 57M27 (Primary) K-Theory and Homology (math.KT) 19E99 55N20 55P43 57M50 (Secondary) Hyperbolic volume Lift (mathematics) High Energy Physics::Theory Mathematics::K-Theory and Homology Mathematics - K-Theory and Homology FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology Geometry and Topology Invariant (mathematics) Mathematics Mathematical physics Bloch wave
Zdroj:	Journal of K-Theory
DOI:	10.48550/arxiv.math/0607496
Popis:	For compact hyperbolic 3-manifolds we lift the Bloch invariant defined by Neumann and Yang to an integral class in K_3(C) Applying the Borel and the Bloch regulators, one gets back the volume and the Chern-Simons invariant of the manifold. We also discuss the non-compact case, in which there appears a Z/2-ambiguity. Comment: 16 pages
Databáze:	OpenAIRE
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