8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

1/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

2/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

3/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

4/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

5/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

6/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

7/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

8/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

9/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

10/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

11/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

12/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

13/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

14/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

15/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

16/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

17/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

18/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

19/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

20/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

21/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

22/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

23/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

24/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

25/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

26/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

27/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

28/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

29/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

30/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

31/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

32/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

33/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

34/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

35/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

36/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

37/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

38/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

39/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

40/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

41/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

42/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

43/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

44/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

45/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

46/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

47/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

48/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

49/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

50/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

51/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

52/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

53/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

54/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

55/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

56/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

57/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

58/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

59/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

60/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

61/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

62/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

63/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

64/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

65/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

66/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

67/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

68/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

69/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

70/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

71/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

72/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

73/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

74/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

75/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

76/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

77/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

78/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

79/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

80/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

81/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

82/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

83/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

84/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

85/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

86/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

87/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

88/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

89/90

8/3/2019 Joan S. Birman and William W. Menasco- Stabilization in the Braid Groups

90/90