Torsions of 3-Dimensional Manifolds

By Vladimir Turaev. 2003

148 citations recorded by the source corpus.

Subfields: Computer Graphics and Computer-Aided Design, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/030890dfc9a8cd206e20e8d81d47316d872b80c6

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In Computer Graphics and Computer-Aided Design

In Geometry and Topology

Citations in the corpus

Grid Homology for Knots and Links (2015, unknown): “This indeterminacy can be removed; see [221].”
The decategorification of sutured Floer homology (2009, background): “,γ) is a balanced sutured manifold such that M is irreducible. Let S⊂H 1(M) be the support of τ(M,γ). Then maxs,t∈S(s−t)·α≤xs(α). Proposition 3 can be proved analogously to McMullen [Mc02] and Turaev [Tu02]. However, we will not do that here since it is an immediate consequence of Theorem 1 and the ”
Deformations of reducible representations of 3–manifold groups into PSL2(ℂ) (2004, background): “c if it generates a symmetric ideal. Hence an element η∈C[t±1] is symmetric if and only if there exists a unit ǫ∈C[t±1]∗ such that ¯η= ǫη. Notice that some authors use the expression weakly symmetric [24]. Proposition 2.2 Let M be a 3-manifold such that β1(M) = 1 and that ∂M is a torus. For each hom”
ENTROPY, DETERMINANTS, AND L 2 -TORSION (2012, background): “Reidemeister torsion and Whitehead torsion are indispensable tools in algebraic topology [16], [55], [70], [71].”
Knot Floer homology and rational surgeries (2005, background): “4 of [31].”
SEIBERG–WITTEN INVARIANTS OF RATIONAL HOMOLOGY 3-SPHERES (2001, methodology): “The Modified Reidemeister Turaev Torsion of 3-Manifolds In this section we survey the results of Turaev [26–31] in a language appropriate to our goals.”
Non semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants (2014, methodology): “y details in Viro’s paper [71]. Complete formulas for computing Reidemeister torsion from multivariable Alexander polynomials on a surgery presentation NON SEMI-SIMPLE TQFTS 51 are given by Turaev in [68]. The Reidemeister torsion was dened in 1935 [61], and shown to classify lens spaces. We show th”
Lens space surgeries and L-space homology spheres (2007, background): “4 in [34], which unfortunately does not cover our situation.”