Motivic Donaldson–Thomas theory and the role of orientation data

Davison, B. (2016) Motivic Donaldson–Thomas theory and the role of orientation data. Glasgow Mathematical Journal, 58(1), pp. 229-262. (doi: 10.1017/S0017089515000178)

[img]
Preview
Text
135488.pdf - Accepted Version

372kB

Abstract

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Davison, Nicholas
Authors: Davison, B.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Glasgow Mathematical Journal
Publisher:Cambridge University Press
ISSN:0017-0895
ISSN (Online):1469-509X
Published Online:21 July 2015
Copyright Holders:Copyright © 2015 CUP
First Published:First published in Glasgow Mathematical Journal 58(1):229-262
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

University Staff: Request a correction | Enlighten Editors: Update this record