Genera of some closed 4-braids

Topology and its Applications

Volumn 78, Issue 1-2, 1997, Pages 61-77

  Ko, Ki Hyoung ^a,b   Lee, Sang Jin ^b  

^a Och Spine at New York Presbyterian Hospitals   (United States)

^b Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

Bennequin surface; Closed braids; Minimal genus surface of knots and links

Indexed keywords

EID: 0009952093     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(96)00149-6     Document Type: Article

References (11)

1. E. Artin, Theory of braids, Ann. of Math. 48 (1947) 101-126.
2. D. Bennequin, Entrelacements et équations de Pfaff, Astérisque 107-108 (1983) 87-161.
3. J.S. Birman, Braids, Links and Mapping Class Groups, Annals of Math. Stud. 82 (Princeton Univ. Press, 1974).
4. J.S. Birman, Studying links via closed braids, in: Lecture Notes of the Ninth KAIST Mathematics Workshop, Vol. 1 (Mathematics Research Center, Korea Advanced Institute of Science and Technology, 1995) 1-67.
5. J.S. Birman and E. Finkelstein, Studying surfaces via closed braids, Preprint.
6. J.S. Birman and W.W. Menasco, Studying links via closed braids I: a finiteness theorem. Pacific J. Math. 154 (1992) 17-36.
7. J.S. Birman and W.W. Menasco, Studying links via closed braids II: on a theorem of Bennequin, Topology Appl. 40 (1991) 71-82.
8. J.S. Birman and W.W. Menasco, Studying links via closed braids III: classifying links which are closed 3-braids, Pacific J. Math. 161 (1993) 25-113.
9. J.S. Birman and W.W. Menasco, Studying links via closed braids IV: composite and split links, Invent. Math. 102 (1990) 115-139.
10. J.S. Birman and W.W. Menasco, Studying links via closed braids V: the unlink, Trans. Amer. Math. Soc. 329 (1992) 585-606.
11. J.S. Birman and W.W. Menasco, Studying links via closed braids VI: a nonfiniteness theorem, Pacific J. Math. 156 (1992) 265-285.