Sheaves on P2 and generalised Appell functions
Citation:
Jan Manschot, Sheaves on P2 and generalised Appell functions, Advances in Theoretical and Mathematical Physics, 21, 3, 2017, 655-681Download Item:
Abstract:
A closed expression is given for the generating function of (
virtual) Poincaré
polynomials of moduli spaces of semi-stable sheaves on the p
rojective plane
P
2
with arbitrary
rank
r
and Chern classes. This generating function is known to equa
l the partition function
of topologically twisted gauge theory with
N
= 4
supersymmetry and gauge group
U
(
r
)
,
which localizes on the Hermitian Yang-Mills solutions of th
e gauge field. To classify and
study the novel generating functions, the notion of Appell f
unctions with signature
(
n
+
, n
−
)
is introduced. For
n
−
= 1
, these novel functions reduce to the known class of Appell
functions with multiple variables or higher level.
Author's Homepage:
http://people.tcd.ie/manschojDescription:
PUBLISHED
Author: Manschot, Jan
Type of material:
Journal ArticleSeries/Report no:
Advances in Theoretical and Mathematical Physics21
3
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Pure & Applied MathematicsMetadata
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