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MANIFOLD THEORY (3-MANIFOLDS) (PhD2, Matveev)

Lecture Topic : (Pure Math) MANIFOLD THEORY (3-MANIFOLDS) (PhD2,  Matveev)

Prerequisites : Manifold Theory (M2);

Recommended Text(s) :

“Algorithmic Topology and Classification of 3-Manifolds”, 2nd Edn., Sergei Matveev, Springer, 2007.

Approx price new on Amazon.com (hard copy) : $47

Approx price second hand on Amazon.com (hard copy) : $50

Availability free on eMule.com (e-format) : Yes

eMule search key word(s) : Matveev, Algorithmic Topology

Lectures and Links :

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Lecture 1  (link)

Ch.1   Simple and Special Polyhedra

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Lecture 2  (link)

Ch.2   Complexity Theory of 3-Manifolds

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Lecture 3  (link)

Ch.3   Haken Theory ofNormalSurfaces

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Lecture 4 (link)

Ch.4   Application of the Theory ofNormalSurfaces

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Lecture 5  (link)

Ch.5   Algorithmic Recognition of S3

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Lecture 6  (link)

Ch.6   Classification of Haken 3-Manifolds

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Lecture 7  (link)

Ch.7   3-Manifold Recognizer

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Lecture 8  (link)

Ch.8   The Turaev-Viro Invariants

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Lecture 9  (link)

Appendix 1 : Manifolds of Complexity =< 6

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Lecture 10  (link)

Appendix 2 : Minimal Spines of Manifolds up to Complexity 6

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Lecture 11  (link)

Appendix 3 : Minimal Spines of Some Manifolds of Complexity 7

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Lecture 12  (link)

Appendix 4 : Tables of Turaev-Viro Invariants

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