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Geometry and Physics: Volume IA Festschrift in honour of Nigel Hitchin$
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Andrew Dancer, Jørgen Ellegaard Andersen, and Oscar García-Prada

Print publication date: 2018

Print ISBN-13: 9780198802013

Published to Oxford Scholarship Online: December 2018

DOI: 10.1093/oso/9780198802013.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 14 October 2019

Vertex Algebras and 4-Manifold Invariants

Vertex Algebras and 4-Manifold Invariants

(p.249) 11 Vertex Algebras and 4-Manifold Invariants
Geometry and Physics: Volume I

Mykola Dedushenko

Sergei Gukov

Pavel Putrov

Oxford University Press

This chapter proposes a way of computing 4-manifold invariants, old and new, as chiral correlation functions in half-twisted 2d N=(0,2) theories that arise from compactification of fivebranes. Such a formulation gives a new interpretation of some known statements about Seiberg–Witten invariants, such as the basic class condition, and gives a prediction for structural properties of the multi-monopole invariants and their non-abelian generalizations.

Keywords:   4-manifold invariant, vertex algebra, Seiberg–Witten, chiral correlation function, fivebrane

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