Journal article

Enumerating coloured partitions in 2 and 3 dimensions

Abstract:

We study generating functions of ordinary and plane partitions coloured by the action of a finite subgroup of the corresponding special linear group. After reviewing known results for the case of ordinary partitions, we formulate a conjecture concerning a basic factorisation property of the generating function of coloured plane partitions that can be thought of as an orbifold analogue of a conjecture of Maulik et al., now a theorem, in three-dimensional Donaldson–Thomas theory. We study natur...

Publication status:
Published
Peer review status:
Peer reviewed

Access Document

Files:
• (Version of record, pdf, 405.9KB)
Publisher copy:
10.1017/S0305004119000252

Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Peter's College
Role:
Author
ORCID:
0000-0002-0092-4719
Publisher:
Cambridge University Press Publisher's website
Journal:
Mathematical Proceedings of the Cambridge Philosophical Society Journal website
Volume:
169
Issue:
3
Pages:
479-505
Publication date:
2019-07-19
Acceptance date:
2019-06-03
DOI:
EISSN:
1469-8064
ISSN:
0305-0041
Language:
English
Pubs id:
pubs:952977
UUID:
uuid:6e4ece6e-05ef-4d0a-bd36-42db25f68f12
Local pid:
pubs:952977
Source identifiers:
952977
Deposit date:
2019-06-06