Genus two 3-manifolds are built from handle number one pieces.
Sedgwick, Eric (2001)
Algebraic & Geometric Topology
Similarity:
Sedgwick, Eric (2001)
Algebraic & Geometric Topology
Similarity:
Maher, Joseph (2005)
Geometry & Topology
Similarity:
Krushkal, Vyacheslav S. (2000)
Geometry & Topology
Similarity:
Burton, Benjamin A. (2004)
Experimental Mathematics
Similarity:
Bachman, David, Derby-Talbot, Ryan; (2006)
Algebraic & Geometric Topology
Similarity:
Boileau, Michel, Wang, Shicheng (2005)
Algebraic & Geometric Topology
Similarity:
Li, Tao (2002)
Geometry & Topology
Similarity:
Thayer, Edward C. (1995)
Experimental Mathematics
Similarity:
Burak Ozbagci (2011)
Open Mathematics
Similarity:
It is well-known that the Heegaard genus is additive under connected sum of 3-manifolds. We show that the Heegaard genus of contact 3-manifolds is not necessarily additive under contact connected sum. We also prove some basic properties of the contact genus (a.k.a. open book genus [Rubinstein J.H., Comparing open book and Heegaard decompositions of 3-manifolds, Turkish J. Math., 2003, 27(1), 189–196]) of 3-manifolds, and compute this invariant for some 3-manifolds.
Forni, Giovanni (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Similarity:
Alberto Cavicchioli, Mauro Meschiari (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Similarity:
Joel Hass, Charles Frohman (1989)
Inventiones mathematicae
Similarity: