In this note, we provide an introduction to virtual fundamental cycles and their two variants: cosection-localized virtual cycles and virtual Lagrangian cycles, using the language of derived algebraic geometry. This is a lecture note for Workshop on moduli spaces, virtual invariants, and shifted symplectic structures.

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An Introduction to Virtual Cycles—Via Derived Algebraic Geometry

  • Hyeonjun Park

摘要

In this note, we provide an introduction to virtual fundamental cycles and their two variants: cosection-localized virtual cycles and virtual Lagrangian cycles, using the language of derived algebraic geometry. This is a lecture note for Workshop on moduli spaces, virtual invariants, and shifted symplectic structures.