Adams operations on the virtual K-theory of ℙ(1,n)

DOI10.1142/S0219498817501493zbMath1388.14152arXiv1302.3524OpenAlexW2963292977MaRDI QIDQ4975385

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Publication date: 4 August 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3524

zbMATH Keywords

Adams operationGromov-Witten theorycrepant resolution conjectureorbifold \(K\)-theoryequivalent \(K\)-theory

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Topological (K)-theory (55N15) Equivariant (K)-theory (19L47) (J)-homomorphism, Adams operations (19L20)

Cites Work

• Chern classes and compatible power operations in inertial \(K\)-theory
• A plethora of inertial products
• Logarithmic trace and orbifold products
• A new cohomology theory of orbifold
• Stringy K-theory and the Chern character
• Chen-Ruan cohomology of cotangent orbifolds and Chas-Sullivan string topology
• Nonabelian localization in equivariant \(K\)-theory and Riemann --- Roch for quotients

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