Embedded surfaces in four-manifolds, branched covers, and SO(3)-invariants
1995 ◽
Vol 117
(2)
◽
pp. 275-286
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Keyword(s):
One of the outstanding problems in four-dimensional topology is to find the minimal genus of an oriented smoothly embedded surface representing a given homology class in a smooth four-manifold. For an arbitrary homology class in an arbitrary smooth manifold not even a conjectural lower bound is known. However, for the classes represented by smooth algebraic curves in (simply connected) algebraic surfaces, it is possible that the genus of the algebraic curve, given by the adjunction formulais the minimal genus. This is usually called the (generalized) Thom conjecture. It is mentioned in Kirby's problem list [11] as Problem 4·36.
2008 ◽
Vol 17
(04)
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pp. 471-482
Keyword(s):
1994 ◽
Vol 36
(1)
◽
pp. 77-80
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2000 ◽
Vol 43
(3)
◽
pp. 511-528
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Keyword(s):
2019 ◽
Vol 305
(1)
◽
pp. 287-304
1989 ◽
Vol 32
(1)
◽
pp. 107-119
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Keyword(s):