A construction of geometric structures on Seifert fibered spaces
نویسندگان
چکیده
منابع مشابه
Horizontal Heegaard Splittings of Seifert Fibered Spaces
We show that if an orientable Seifert fibered space M with an orientable genus g base space admits a strongly irreducible horizontal Heegaard splitting then there is a one-to-one correspondence between isotopy classes of strongly irreducible horizontal Heegaard splittings and elements of Z. The correspondence is determined by the slopes of intersection of each Heegaard splitting with a collecti...
متن کاملPositive Diagrams for Seifert Fibered Spaces
obtained by adding 2-handles to S× [−1, 1] along the curves of X×−1 and Y ×1 and then adding 3-handles along all resulting 2-sphere boundary components. The decomposition of M by S × 0 is the associated (Heegaard) splitting of M and the genus of S is called the genus of the splitting. A positive diagram is a diagram in which S, X , and Y are oriented and the intersection number < X, Y >p of X w...
متن کاملThe Irreducibility of Heegaard Splittings of Seifert Fibered Spaces
Moriah and Schultens have demonstrated that an irreducible Heegaard splitting of an orientable Seifert fibered space over an orientable base surface is either vertical or horizontal. In this paper it is determined precisely which vertical and horizontal splittings are irreducible. Let M be a Seifert fibered space which admits a horizontal splitting at the fiber f . If the genus of the horizonta...
متن کاملOn mapping cones of Seifert fibered surgeries
Using the mapping cone of a rational surgery, we give several obstructions for Seifert fibered surgeries, including obstructions on the Alexander polynomial, the knot Floer homology, the surgery coefficient and the Seifert and four-ball genus of the knot. These generalize the corresponding results in [9][21].
متن کاملSeifert fibered surgery on Montesinos knots
Exceptional Dehn surgeries on arborescent knots have been classified except for Seifert fibered surgeries on Montesinos knots of length 3. There are infinitely many of them as it is known that 4n + 6 and 4n + 7 surgeries on a (−2, 3, 2n + 1) pretzel knot are Seifert fibered. It will be shown that there are only finitely many others. A list of 20 surgeries will be given and proved to be Seifert ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1984
ISSN: 0025-5645
DOI: 10.2969/jmsj/03630483