15 citations · 68 across the 44 of their papers we have counts for
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Generalized Donaldson-Thomas Invariants of 2-Dimensional sheaves on local P^2
Amin Gholampour, Artan Sheshmani
Let X be the total space of the canonical bundle of P^2. We study the generalized Donaldson-Thomas invariants, defined in the work of Joyce-Song, of the moduli spaces of the 2-dime…
Counting curves on surfaces in Calabi-Yau 3-folds
Amin Gholampour, Artan Sheshmani, R. P. Thomas
Motivated by S-duality modularity conjectures in string theory, we define new invariants counting a restricted class of 2-dimensional torsion sheaves, enumerating pairs $Z\subset H…
Donaldson-Thomas Invariants of 2-Dimensional sheaves inside threefolds and modular forms
Amin Gholampour, Artan Sheshmani
Motivated by the S-duality conjecture, we study the Donaldson-Thomas invariants of the 2 dimensional Gieseker stable sheaves on a threefold. These sheaves are supported on the fibe…
Stable pairs on nodal K3 fibrations
Amin Gholampour, Artan Sheshmani, Yukinobu Toda
We study Pandharipande-Thomas's stable pair theory on fibrations over curves with possibly nodal fibers. We describe stable pair invariants of the fiberwise irreducible curve…
Invariants of pure 2-dimensional sheaves inside threefolds and modular forms
Amin Gholampour, Artan Sheshmani
Motivated by S-duality modularity conjectures in string theory, we study the Donaldson-Thomas type invariants of pure 2-dimensional sheaves inside a nonsingular threefold X in thre…