The refined symplectic sum formula for Gromov–Witten invariants

Autor:	Aleksey Zinger, Mohammad Farajzadeh Tehrani
Rok vydání:	2020
Předmět:	Pure mathematics General Mathematics Product (mathematics) Opera 010102 general mathematics 0103 physical sciences Key (cryptography) 010307 mathematical physics 0101 mathematics Mathematics::Symplectic Geometry 01 natural sciences Symplectic sum Mathematics
Zdroj:	International Journal of Mathematics. 31:2050032
ISSN:	1793-6519 0129-167X
DOI:	10.1142/s0129167x20500329
Popis:	We describe the extent to which Ionel–Parker’s proposed refinement of the standard relative Gromov–Witten invariants (GW-invariants) sharpens the usual symplectic sum formula. The key product operation on the target spaces for the refined invariants is specified in terms of abelian covers of symplectic divisors, making it suitable for studying from a topological perspective. We give several qualitative applications of this refinement, which include vanishing results for GW-invariants.
Databáze:	OpenAIRE
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