Enumerative geometry, before and after string theory

DOI10.1007/978-981-19-3708-8_1zbMath1499.14002OpenAlexW4312266302MaRDI QIDQ2104784

Young-Hoon Kiem

Publication date: 7 December 2022

Full work available at URL: https://doi.org/10.1007/978-981-19-3708-8_1

zbMATH Keywords

enumerative geometry

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of mathematics in the 21st century (01A61) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry (14-01) History of algebraic geometry (14-03) Projective and enumerative algebraic geometry (14Nxx)

Cites Work

• Intersection theory on algebraic stacks and on their moduli spaces
• Localization of virtual classes
• The intrinsic normal cone
• Algebraic Geometry. I: Complex projective varieties.
• Geometric Invariant Theory
• Notes on stable maps and quantum cohomology
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• Localizing virtual cycles by cosections
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