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- W2051767908 abstract "Let <TEX>$M=H_1{cup}_SH_2$</TEX> be a Heegaard splitting of a 3-manifold M, D be an essential disk in <TEX>$H_1$</TEX> and A be an essential annulus in <TEX>$H_2$</TEX>. Suppose D and A intersect in one point. First, we show that a Heegaard splitting admitting such a (D, A) pair satisfies the disjoint curve property, yet there are infinitely many examples of strongly irreducible Heegaard splittings with such (D, A) pairs. In the second half, we obtain another Heegaard splitting <TEX>$M=H'_1{cup}_{S'}H'_2$</TEX> by removing the neighborhood of A from <TEX>$H_2$</TEX> and attaching it to <TEX>$H_1$</TEX>, and show that <TEX>$M=H'_1{cup}_{S'}H'_2$</TEX> also has a (D, A) pair with <TEX>$|D{cap}A|=1$</TEX>." @default.
- W2051767908 created "2016-06-24" @default.
- W2051767908 creator A5063480657 @default.
- W2051767908 date "2009-01-31" @default.
- W2051767908 modified "2023-09-26" @default.
- W2051767908 title "ON (DISK, ANNULUS) PAIRS OF HEEGAARD SPLITTINGS THAT INTERSECT IN ONE POINT" @default.
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- W2051767908 doi "https://doi.org/10.4134/bkms.2009.46.1.099" @default.
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