The dual Thurston norm and the geometry of closed 3-manifolds

Itoh, Mitsuhiro; Yamase, Takahisa

Osaka J. Math., Tome 43 (2006) no. 2, p. 121-129 / Harvested from Project Euclid

Résumé

We investigate closed Riemannian 3-manifolds which satisfy an extremal condition. Using monopole equations and considering the action of the covering transformations, we decide the geometric structure of such 3-manifolds. As a result, we characterize the geometry of 3-manifolds with monopole classes whose dual Thurston norm is equal to one.

Publié le : 2006-03-15
Classification: 14J80, 57M50

@article{1146242997,
     author = {Itoh, Mitsuhiro and Yamase, Takahisa},
     title = {The dual Thurston norm and the geometry of closed 3-manifolds},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 121-129},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1146242997}
}

Itoh, Mitsuhiro; Yamase, Takahisa. The dual Thurston norm and the geometry of closed 3-manifolds. Osaka J. Math., Tome 43 (2006) no. 2, pp.  121-129. http://gdmltest.u-ga.fr/item/1146242997/