Unknotting singular surface braids by crossing changes
Iwakiri, Masahide
Osaka J. Math., Tome 45 (2008) no. 1, p. 61-84 / Harvested from Project Euclid
C.A. Giller defined a crossing change for surfaces in $4$-space, and proved an unknotting theorem. In this paper, we present such an unknotting theorem for singular surface braids, extending S. Kamada's result for those without branch points. As a consequence, we recover Giller's unknotting theorem. We also study finite type invariants for singular surface braids associated with the crossing changes.
Publié le : 2008-03-15
Classification:  57Q45,  57Q35
@article{1205503556,
     author = {Iwakiri, Masahide},
     title = {Unknotting singular surface braids by crossing changes},
     journal = {Osaka J. Math.},
     volume = {45},
     number = {1},
     year = {2008},
     pages = { 61-84},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1205503556}
}
Iwakiri, Masahide. Unknotting singular surface braids by crossing changes. Osaka J. Math., Tome 45 (2008) no. 1, pp.  61-84. http://gdmltest.u-ga.fr/item/1205503556/