Annotated Publication List

Here are summaries of research papers and preprints. If your browser knows what to do with xxx.ps files, you can read and download these files.

1. "A remark on persistent lamination".
   submitted for publication

   Brittenham has shown how an incompressible Seifert surface $F$ for a knot in $S^3$ can be used to find an infinite class of persistently laminar knots. In this paper we generalize this to create larger class of persistently laminar knots which therefore have property P.

2. "Atoms among theta-curves".
   submitted for publication

   It is known that $3_1, 3^*_1, 5_1, 6_1$ are atoms. In this paper we introduce a conjecture which says that these are the only atoms and partial results supporting this conjecture.

3. "Dehn filling, reducible 3-manifolds, and Klein bottles".
   Proceedings of Amer. Math. Soc. 126 (1998) 289-296

   This paper is a sequal of my second paper. In the same condition as above, I proved that if two Dehn fillings create reducible manifold and manifold containing Klein bottle, then the maximal distance is three.

4. "Reducible and toroidal 3-manifolds obtained by Dehn fillings".
   Topology and its Applications 75 (1997) 93-104

   This paper became part of my dissertation. Let M be a compact, connected, orientable, irreducible 3-manifold whose boundary is a torus. We announce that if two Dehn fillings create reducible manifold and toroidal manifold, then the maximal distance is three.

5. "Knotted solid tori decompositions of 3-ball and sphere".
   Journal of Knot Theory and its Ramifications 5 (1996) 405-416

   In this paper I give several kinds of tilings of regular solids, 3-ball and spheres, by knotted solid tori or handlebodies all of which are congruent and nontrivially linked. I also present higher dimensional tilings of a (p+3)-ball by congruent regular neighborhoods of any p-spun knot.

6. "Exceptional manifolds after Dehn filling".
   Ph.D. thesis, Dec. 1996, The University of Texas at Austin

   My thesis is on Low-dimensional Topology theory. Let M be a compact, connected, orientable, irreducible, hyperbolic 3-manifold whose boundary is a torus. We give proofs of the following results. If two Dehn fillings create a reducible manifold and a toroidal manifold respectively, then their maximal distance is three, and if they produce a reducible manifold and a manifold containing a Klein bottle, then their maximal distance is also three.