Vertex F-algebra structures on the complex oriented homology of H-spaces

DOI10.1016/j.jpaa.2022.107019OpenAlexW4225646248MaRDI QIDQ2134651

Jacob Gross, Markus Upmeier

Publication date: 3 May 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.15131

zbMATH Keywords

vertex algebrageneralized cohomology\(H\)-spaceformal group law

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20)

Cites Work

• Vertex \(F\)-algebras and their \(\phi\)-coordinated modules
• Equivariant \(K\)-theory and refined Vafa-Witten invariants
• On orientations for gauge-theoretic moduli spaces
• \(K\)-theoretic Donaldson invariants via instanton counting
• The relation of cobordism to K-theories
• Elementary proofs of some results of cobordism theory using Steenrod operations
• On spin structures and orientations for gauge-theoretic moduli spaces
• On Thom Spectra, Orientability, and Cobordism
• Verlinde formulae on complex surfaces: K-theoretic invariants
• Moduli of objects in dg-categories
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