---
res:
bibo_abstract:
- For any free oriented Borel–Moore homology theory A, we construct an associative
product on the A-theory of the stack of Higgs torsion sheaves over a projective
curve C. We show that the resulting algebra AHa0C admits a natural shuffle presentation,
and prove it is faithful when A is replaced with usual Borel–Moore homology groups.
We also introduce moduli spaces of stable triples, heavily inspired by Nakajima
quiver varieties, whose A-theory admits an AHa0C-action. These triples can be
interpreted as certain sheaves on PC(ωC⊕OC). In particular, we obtain an action
of AHa0C on the cohomology of Hilbert schemes of points on T∗C.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Sasha
foaf_name: Minets, Sasha
foaf_surname: Minets
foaf_workInfoHomepage: http://www.librecat.org/personId=3E7C5304-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0003-3883-1806
bibo_doi: 10.1007/s00029-020-00553-x
bibo_issue: '2'
bibo_volume: 26
dct_date: 2020^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/10221824
- http://id.crossref.org/issn/14209020
dct_language: eng
dct_publisher: Springer Nature@
dct_title: Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples
and sheaves on surfaces@
...