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NCTS Informal Lecture Series in Symplectic Geometry
 
14:00 - 17:00, November 29, 2019 (Friday)
R201, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 201室)
Kuranishi Structure and Virtual Fundamental Cycle/chain Technique (III)
Kaoru Ono (RIMS, Kyoto University)

Abstract:
We will explain the construction of Kuranishi structure on moduli spaces of stable maps, following the motivation and abstract theory given in the lecture in October.  
 
References:
1. FOOO,  Kuranishi structure, Pseudo-holomorphic curve and virtual fundamental chain: Part I   arXiv:1503.0731 
(I will not cover Part II: arXiv:1704.01848 this time.)  
2. FOOO, Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks, I arXiv:1710.01459 
(I will not cover Part II: arXiv:1808.06106 this time.)  
 
NB: 
Part I:  Kuranishi structure on a single space => virtual fundamental cycle/chain construction of Kuranishi structure for a single moduli space 
Part II : a system of spaces of Kuranishi structures => algebraic structure construction of Kuranishi structures for a system of moduli spaces


 

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