5 papers · 1 filter
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-…
Chern-Simons functional, singular instantons, and the four-dimensional clasp number
Aliakbar Daemi, Christopher Scaduto
Kronheimer and Mrowka asked whether the difference between the four-dimensional clasp number and the slice genus can be arbitrarily large. This question is answered affirmatively b…
Equivariant aspects of singular instanton Floer homology
Aliakbar Daemi, Christopher Scaduto
We associate several invariants to a knot in an integer homology 3-sphere using singular instanton gauge theory. There is a space of framed singular connections for such a…
On definite lattices bounded by a homology 3-sphere and Yang-Mills instanton Floer theory
Christopher Scaduto
Using instanton Floer theory, extending methods due to Froyshov, we determine the definite lattices that arise from smooth 4-manifolds bounded by certain homology 3-spheres. For ex…