Invariants of Stable Maps between Closed Orientable Surfaces
In this paper, we will consider the problem of constructing stable maps between two closed orientable surfaces M and N with a given branch set of curves immersed on N. We will study, from a global point of view, the behavior of its families in different isotopies classes on the space of smooth maps. The main goal is to obtain different relationships between invariants. We will provide a new proof of Quine’s Theorem.
2016 ◽
Vol 36
(3)
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pp. 1185-1194
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2014 ◽
Vol 24
(08)
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pp. 1440012
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2011 ◽
Vol 21
(09)
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pp. 2427-2466
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1962 ◽
Vol 14
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pp. 169-257
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Keyword(s):
1984 ◽
Vol 75
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pp. 331-337
1983 ◽
Vol 41
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pp. 174-177
Keyword(s):
1982 ◽
Vol 40
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pp. 600-603
1978 ◽
Vol 36
(2)
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pp. 412-413
1978 ◽
Vol 36
(1)
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pp. 484-485
Keyword(s):