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European Mathematical Society Publishing House
2016-09-19 17:04:50
Commentarii Mathematici Helvetici
Comment. Math. Helv.
CMH
0010-2571
1420-8946
General
10.4171/CMH
http://www.ems-ph.org/doi/10.4171/CMH
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Swiss Mathematical Society
77
2002
1
Relations among the lowest degree of the Jones polynomial and geometric invariants for a closed positive braid
TAKASHI
KAWAMURA
UNIVERSITY OF TOKYO, TOKYO, JAPAN
Unknotting number, four-dimensional clasp number, slice Euler characteristic, Jones polynomial
By means of a result due to Fiedler, we obtain a relation between the lowest degree of the Jones polynomial and the unknotting number for any link which has a closed positive braid diagram. Furthermore, we obtain relations between the lowest degree and the slice euler characteristic or the four-dimensional clasp number.
Group theory and generalizations
General
125
132
10.1007/s00014-002-8333-3
http://www.ems-ph.org/doi/10.1007/s00014-002-8333-3