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math.AG2026
Quantum index, Arnold-Rokhlin surfaces, and real enumerative geometry
Ilia Itenberg, Eugenii Shustin
The main goal of this note is to relate two different Welschinger-type rules of signs that were used for definition of real enumerative invariants of toric surfaces (the invariants…
math.AG2025
Real enumerative invariants relative to the toric boundary and their refinement
Ilia Itenberg, Eugenii Shustin
We introduce new invariants of a class of toric surfaces (including the projective plane) that arise from appropriate enumeration of real curves of genus one and two. These invaria…