Homology, Homotopy and Applications

Volume 15 (2013)

Number 2

Invariants preserved by mutation

Pages: 163 – 172

DOI: http://dx.doi.org/10.4310/HHA.2013.v15.n2.a10

Author

Thilo Kuessner (School of Mathematics, Korea Institute for Advanced Study, Seoul, Korea)

Abstract

We prove that generalized mutation preserves several geometric invariants such as the volume and Goncharov invariant of closed or $\mathbf{Q}$-rank 1 locally symmetric spaces.

Keywords

mutation, volume, Bloch invariant, locally symmetric space

2010 Mathematics Subject Classification

53C35, 57M50, 57R19

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