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MOTIVIC DONALDSON–THOMAS THEORY AND THE ROLE OF ORIENTATION DATA

Part of: (Co)homology theory

Published online by Cambridge University Press:  21 July 2015

BEN DAVISON
BEN DAVISON*
Affiliation:
École polytechique fédérale de Lausanne E-mail: [email protected]
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Abstract

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In this paper we introduce and motivate the concept of orientation data, as it appears in the framework for motivic Donaldson–Thomas theory built by Kontsevich and Soibelman. By concentrating on a single simple example we explain the role of orientation data in defining the integration map, a central component of the wall crossing formula.

MSC classification

Primary: 14F05: Sheaves, derived categories of sheaves and related constructions
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 58 , Issue 1 , January 2016 , pp. 229 - 262
Copyright
Copyright © Glasgow Mathematical Journal Trust 2015 

References

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