Families of Representations of Punctured Torus Bundles

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J. Math. Sci. Univ. Tokyo
Vol. 8 (2001), No. 2, Page 201--210.

Morifuji, Takayuki
Families of Representations of Punctured Torus Bundles
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

Abstract:
We construct a complex surface of irreducible $SL(6,\C)$ representations of the fundamental group of a once punctured torus bundle over $S^1$. It contains the Mangum-Shanahan curve of $SL(3,\C)$ representations [MS]Î½ll. As a corollary, we show that almost all punctured torus bundle groups are linear.

Keywords: torus bundle, fundamental group, representation

Mathematics Subject Classification (2000): Primary 57N10; Secondary 20F34, 57M50

Mathematical Reviews Number: MR1837161

Received: 2000-08-13

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