Stable maps and enumerative geometry

2006 ◽  
pp. 27-42
Author(s):  
Sheldon Katz
Keyword(s):  
Enumerative Geometry ◽  
Stable Maps

scholarly journals Invariants of Stable Maps between Closed Orientable Surfaces

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 215
Author(s):  
Catarina Mendes de Jesus S. ◽  
Pantaleón D. Romero
Keyword(s):  
Point Of View ◽  
Stable Maps ◽  
Smooth Maps ◽  
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.

Graphs of stable maps between closed orientable surfaces

2016 ◽  
Vol 36 (3) ◽  
pp. 1185-1194 ◽  
Author(s):  
C. Mendes de Jesus
Keyword(s):  
Stable Maps ◽  
Orientable Surfaces

scholarly journals Towards Mori’s program for the moduli space of stable maps

2011 ◽  
Vol 133 (5) ◽  
pp. 1389-1419 ◽  
Author(s):  
Dawei Chen ◽  
Izzet Coskun
Keyword(s):  
Moduli Space ◽  
Stable Maps
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