Heegaard splittings and Morse-Smale flows
2003 ◽
Vol 2003
(56)
◽
pp. 3539-3572
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Keyword(s):
We describe three theorems which summarize what survives in three dimensions of Smale's proof of the higher-dimensional Poincaré conjecture. The proofs require Smale's cancellation lemma and a lemma asserting the existence of a2-gon. Such2-gons are the analogues in dimension two of Whitney disks in higher dimensions. They are also embedded lunes; an (immersed) lune is an index-one connecting orbit in the Lagrangian Floer homology determined by two embedded loops in a2-manifold.
2012 ◽
Vol 468
(2141)
◽
pp. 1452-1471
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1997 ◽
Vol 08
(03)
◽
pp. 583-588
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Keyword(s):
2009 ◽
Vol 46
(2)
◽
pp. 263-273
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Keyword(s):
1995 ◽
Vol 15
(1)
◽
pp. 121-147
◽