Results 11  20
of
1,310
On invertible generating pairs of fundamental groups of graph manifolds
"... We study invertible generating pairs of fundamental groups of graph manifolds, that is, pairs of elements.g; h / for which the map g 7! g1, h 7! h1 extends to an automorphism. We show in particular that a graph manifold is of Heegaard genus 2 if and only if its fundamental group has an invertible ge ..."
Abstract
 Add to MetaCart
We study invertible generating pairs of fundamental groups of graph manifolds, that is, pairs of elements.g; h / for which the map g 7! g1, h 7! h1 extends to an automorphism. We show in particular that a graph manifold is of Heegaard genus 2 if and only if its fundamental group has an invertible
Relative Euler Number And Finite Covers Of Graph Manifolds
, 1993
"... this paper we show that every nontrivial graph manifold M has a finite cover that contains a foliation which is very close to a fibration over the circle  the foliation restricted to each vertex manifold of M is a fibration over the circle. On the other hand, we show that this foliation can not ..."
Abstract

Cited by 16 (0 self)
 Add to MetaCart
this paper we show that every nontrivial graph manifold M has a finite cover that contains a foliation which is very close to a fibration over the circle  the foliation restricted to each vertex manifold of M is a fibration over the circle. On the other hand, we show that this foliation can
1 TOPOLOGICAL GRAVITATION ON GRAPH MANIFOLDS
, 706
"... A model of topological field theory is presented in which the vacuum coupling constants are topological invariants of the fourdimensional spacetime. Thus the coupling constants are theoretically computable, and they indicate the topological structure of our universe. We construct an Abelian BFtype ..."
Abstract
 Add to MetaCart
A model of topological field theory is presented in which the vacuum coupling constants are topological invariants of the fourdimensional spacetime. Thus the coupling constants are theoretically computable, and they indicate the topological structure of our universe. We construct an Abelian BFtype model in analogy with the ordinary fourdimensional topological field theory1 and with the lowenergy effective U(1) rtheory of Seiberg–Witten (SW) 2, beginning with a U(1) rbundle E over a fourdimensional topological space X with a nonempty boundary ∂X, E being a direct sum of linear bundles L1 ⊕ · · · ⊕ Lr. Let us define locally connection 1forms Aa (a = 1,...,r) on E with values in the algebra L of the group U(1), and 2forms Ba with values in the dual algebra. Due to these analogies it is natural to write the action as S = ∫ F a ∧ Ba − 1 2ΛabBa ∧ Bb + i 2ΘabF a ∧ F b where F a = dAa; Λab and Θab are nondegenerate symmetric matrices called those of the coupling constants and theta angles matrices, respectively. Our action admits symmetry under dual
Nonsingular graphmanifolds of dimension 4
, 2004
"... A compact 4dimensional manifold is a nonsingular graphmanifold if it can be obtained by glueing T 2bundles over compact surfaces (with boundary) of negative Euler characteristics. If none of glueing diffeomorphisms respect the bundle structures, the graphstructure is called reduced. We prove th ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
A compact 4dimensional manifold is a nonsingular graphmanifold if it can be obtained by glueing T 2bundles over compact surfaces (with boundary) of negative Euler characteristics. If none of glueing diffeomorphisms respect the bundle structures, the graphstructure is called reduced. We prove
GRAPH MANIFOLDS HAVE VIRTUALLY POSITIVE SEIFERT VOLUME
, 2009
"... This paper shows that the Seifert volume of each closed nontrivial graph manifold is virtually positive. As a consequence, for each closed orientable prime 3manifold N, the set of mapping degrees D(M, N) is finite for any 3manifold M, unless N is finitely covered by either a torus bundle, or a tr ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
This paper shows that the Seifert volume of each closed nontrivial graph manifold is virtually positive. As a consequence, for each closed orientable prime 3manifold N, the set of mapping degrees D(M, N) is finite for any 3manifold M, unless N is finitely covered by either a torus bundle, or a
BORDERED HEEGAARD FLOER HOMOLOGY AND GRAPH MANIFOLDS
"... Abstract. We perform two explicit computations of bordered Heegaard Floer invariants. The first is the type D trimodule associated to the trivial S1bundle over the pair of pants P. The second is a bimodule that is necessary for selfgluing, when two torus boundary components of a bordered manifold ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
are glued to each other. Using the results of these two computations, we describe an algorithm for computing ĤF of any graph manifold. 1.
Results 11  20
of
1,310