14 citations · 56 across the 22 of their papers we have counts for
24 papers
On symplectic aspects of character varieties for punctured surfaces
Aliakbar Daemi, Christopher Scaduto
For a surface with an odd number of punctures, the moduli space of flat connections with traceless holonomy around each puncture is a symplectic manifold. When the moduli s…
Instantons, indefinite 4-manifolds, and Dehn surgery
Aliakbar Daemi, Xingpei Liu, Mike Miller Eismeier
We prove that there exist hyperbolic integer homology spheres with arbitrarily large Dehn surgery number. Previously, no integer homology sphere was known to have a surgery number…
Nullhomotopic knots are determined by their complements
Aliakbar Daemi, Ciprian Manolescu, Tye Lidman +1
We prove that nullhomotopic knots in three-manifolds are determined by their complements. This answers a Kirby Problem posed by Boileau. The argument uses techniques in instanton F…
The mapping class group action on the odd character variety is faithful
Aliakbar Daemi, Christopher Scaduto
The odd character variety of a Riemann surface is a moduli space of SO(3) representations of the fundamental group which can be interpreted as the moduli space of stable holomorphi…
Filtered instanton homology and cosmetic surgery
Aliakbar Daemi, Mike Miller Eismeier, Tye Lidman
The cosmetic surgery conjecture predicts that for a non-trivial knot in the three-sphere, performing two different Dehn surgeries results in distinct oriented three-manifolds. Hans…
Unoriented skein exact triangles in equivariant singular instanton Floer theory
Aliakbar Daemi, Christopher Scaduto
Equivariant singular instanton Floer theory is a framework that associates to a knot in an integer homology 3-sphere a suite of homological invariants that are derived from circle-…