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A note on proof of Gordon's Conjecture

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In this paper, we show a proof of Gordon's Conjecture by using Qiu's labels and two new labels.

Abstract

In this paper, we show a proof of Gordon's Conjecture by using Qiu's labels and two new labels.

참고문헌 (9)

  1. D. Bachman, "Connected sums of unstabilized Heegaard splittings are unstabilized", Geom. Topol., 12(4), pp.2327~2378 (2008)[DOI]
  2. R. Kirby, "Problems in low dimensional manifold theory, in Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976), Part 2", Proc. Sympos. Pure Math., XXXII (1978), Amer. Math. Soc.
  3. T. Kobayashi, "The amalgamation of high distance Heegaard splittings is always efficient", Math. Ann., 341(3), pp.707~715 (2008)[DOI]
  4. T. Kobayashi, "Separating incompressible surfaces and stabilizations of Heegaard splittings", Math. Proc. Cambridge Philos. Soc., 137(3), pp.633~643 (2004)[DOI]
  5. M. Lackenby, "The Heegaard genus of amalgamated 3-manifolds", Geom. Dedicata, 109, pp.139~145 (2004)[DOI]
  6. R. Qiu, "Stabilizations of reducible Heegaard splittings", ~
  7. R. Qiu, "A proof of the Gordon conjecture", Adv. Math., 222(6), pp.2085~2106 (2009)[DOI]
  8. J. Schultens, "The classification of Heegaard splittings for (compact orientable surface) <TEX>${\times}S^1$<", TEX>, 1993, pp.67(2), 425~448
  9. J. Schultens, "Destabilizing amalgamated Heegaard splittings;Geom. Topol. Monogr., 12", Workshop on Heegaard Splittings, pp.319~334 (2007)

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