Name Tetsuya Abe RIMS (GCOE researcher) Session Jan 11 15:20~15:50 E11-103 On the r-shake genes of a knot Let $X(K,r)$ be the 4-dimensional manifold which is obtained form $D^4$ by attaching (4-dimensional ) 2-handle along a knot $K$ in $S^3$ with framing $r$. The $r$-shake genus of $K$ is the minimal number of genus of the closed surfaces whose homology classes generate the second homology group of $X(K,r)$. In this talk, we study the $r$-shake genes of a knot. 103-1-11/KAIST1.pdf