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Deformations of reducible SL(n,C) repres...

Kozai, Kenji...

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Deformations of reducible SL(n,C) representations of fibered 3-manifold groups by Kozai, Kenji ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	24-09-2015
Summary	Let Mϕ be a surface bundle over a circle with monodromy ϕ:S→S. We study deformations of certain reducible representations of π1(Mϕ) into SL(n,C), obtained by composing a reducible representation into SL(2,C) with the irreducible representation SL(2,C)→SL(n,C). In particular, we show that under certain conditions on the eigenvalues of ϕ∗, the reducible representation is contained in a (n+1+k)(n−1) dimensional component of the representation variety, where k is the number of components of ∂Mϕ. This result applies to mapping tori of pseudo-Anosov maps with orientable invariant foliations whenever 1 is not an eigenvalue of the induced map on homology, where the reducible representation is also a limit of irreducible representations.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	http://arxiv.org/abs/1509.07487

Citation

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AMA 11th EditionReferences

Kozai, Kenji. Deformations of reducible SL(n,C) representations of fibered 3-manifold groups. N.A. September 24, 2015. Accessed August 16, 2025. https://online.provdatabase.com/cite/11364

APA 7th EditionReferences

Kozai, Kenji. (2015). Deformations of reducible SL(n,C) representations of fibered 3-manifold groups. N.A. https://online.provdatabase.com/cite/11364

Chicago 17th EditionReferences

Kozai, Kenji. Deformations of reducible SL(n,C) representations of fibered 3-manifold groups. N.A. 2015. https://online.provdatabase.com/cite/11364

HarvardReferences

Kozai, Kenji. (2015). Deformations of reducible SL(n,C) representations of fibered 3-manifold groups. [Online]. N.A. Available from: https://online.provdatabase.com/cite/11364. (Accessed 16 August 2025).

Harvard AustraliaReferences

Kozai, Kenji, 2015, Deformations of reducible SL(n,C) representations of fibered 3-manifold groups, N.A, viewed 16 August 2025, <https://online.provdatabase.com/cite/11364>

MLA 9th EditionWorks Cited

Kozai, Kenji. Deformations of reducible SL(n,C) representations of fibered 3-manifold groups. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/11364.

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