Welschinger invariants of Blow-ups of symplectic 4-manifolds

2016/09/19 by Yanqiao Ding, Ding, Yanqiao, Jianxun Hu +1 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1609.05655

openalex publication_date 2016/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the degeneration technique, one studies the behavior of Welschinger invariants under the blow-up, and obtains some blow-up formulae of Welschinger invariants. One also analyses the variation of Welschinger invariants when replacing a pair of real points in the real configuration by a pair of conjugated points, and reproves Welschinger's wall crossing formula.

Citations

• Floor decompositions of tropical curves : the planar case
• The open Gromov-Witten-Welschinger theory of blowups of the projective plane
• Floor diagrams relative to a conic, and GW-W invariants of Del Pezzo\n surfaces

Cited by

• Welschinger--Witt invariants

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