45 citations · 104 across the 18 of their papers we have counts for
21 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…
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…
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-…
Rank three instantons, representations and sutures
Aliakbar Daemi, Nobuo Iida, Christopher Scaduto
We show that the knot group of any knot in any integer homology sphere admits a non-abelian representation into such that meridians are mapped to matrices whose eigenvalues…
Metric stretching and the period map for smooth 4-manifolds
Christopher Scaduto
The period map for a smooth closed 4-manifold assigns to a Riemannian metric the space of self-dual harmonic 2-forms. This map is from the space of metrics to the Grassmannian of m…
Instantons, special cycles, and knot concordance
Aliakbar Daemi, Hayato Imori, Kouki Sato +2
We introduce a framework for defining concordance invariants of knots using equivariant singular instanton Floer theory with Chern-Simons filtration. It is demonstrated that many o…