Results 41 to 50 of about 253 (87)

Deformations of reducible representations of 3–manifold groups into PSL2(ℂ) [PDF]

, 2004
Let M be a 3-manifold with torus boundary which is a rational homology circle. We study deformations of reducible representations of π1(M) into PSL2(C) associated to a simple zero of the twisted Alexander polynomial.
M. Heusener, J. Porti
semanticscholar   +1 more source

The homotopy theory of Khovanov homology [PDF]

, 2011
We show that the unnormalised Khovanov homology of an oriented link can be identified with the derived functors of the inverse limit. This leads to a homotopy theoretic interpretation of Khovanov homology.
B. Everitt, P. Turner
semanticscholar   +1 more source

Dehn surgery, rational open books and knot Floer homology [PDF]

, 2011
By recent results of Baker, Etnyre and Van Horn-Morris, a rational open book decomposition defines a compatible contact structure. We show that the Heegaard Floer contact invariant of such a contact structure can be computed in terms of the knot Floer ...
M. Hedden, O. Plamenevskaya
semanticscholar   +1 more source

Local surgery formulas for quantum invariants and the Arf invariant [PDF]

Geometry and Topology Monographs, 2004
A formula for the Arf invariant of a link is given in terms of the singularities of an immersed surface bounded by the link. This is applied to study the computational complexity of quantum invariants of 3{manifolds.
R. Kirby, P. Melvin
semanticscholar   +1 more source

A new obstruction of quasialternating links [PDF]

, 2014
We prove that the degree of the Q‐polynomial of any quasialternating link is less than its determinant. Therefore, we obtain a new and simple obstruction criterion for the link to be quasialternating.
K. Qazaqzeh, N. Chbili
semanticscholar   +1 more source

Kirby Elements and Quantum Invariants [PDF]

, 2003
We define the notion of a Kirby element of a ribbon category C (not necessarily semisimple). Kirby elements lead to 3‐manifold invariants. We characterize a class of Kirby elements, the algebraic Kirby elements, in terms of the structure maps of a Hopf ...
A. Virelizier
semanticscholar   +1 more source

Manifolds with small Heegaard Floer ranks [PDF]

, 2009
We show that the only irreducible three-manifold with positive first Betti number and Heegaard Floer homology of rank two is homeomorphic to zero-framed surgery on the trefoil.
M. Hedden, Yi Ni
semanticscholar   +1 more source

The Kauffman bracket skein module of a twist knot exterior [PDF]

, 2004
We compute the Kauffman bracket skein module of the comple- ment of a twist knot, finding that it is free and infinite dimensional. The basis consists of cables of a two-component link, one component of which is a meridian of the knot. The cabling of the
D. Bullock, Walter Lo Faro
semanticscholar   +1 more source

The boundary manifold of a complex line arrangement [PDF]

, 2006
We study the topology of the boundary manifold of a line arrangement in 2 , with emphasis on the fundamental group G and associated invariants. We determine the Alexander polynomial A.G/, and more generally, the twisted Alexander polynomial associated to
D. Cohen, Alexander I. Suciu
semanticscholar   +1 more source

A dilogarithmic formula for the Cheeger-Chern-Simons class [PDF]

, 2006
We present a simplification of Neumann’s formula for the universal Cheeger‐ Chern‐Simons class of the second Chern polynomial. Our approach is completely algebraic, and the final formula can be applied directly on a homology class in the bar complex ...
J. Dupont, C. Zickert
semanticscholar   +1 more source