Publications (19)
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…
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…
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…
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…
Computing -invariants of Joyce's compact -manifolds
Christopher Scaduto
Crowley and Nordström introduced an invariant of -structures on the tangent bundle of a closed 7-manifold, taking values in the integers modulo 48. Using the spectral descrip…
On Newstead's Mayer-Vietoris argument in characteristic 2
Christopher Scaduto, Matthew Stoffregen
Consider the moduli space of framed flat connections with fixed odd determinant over a surface. Newstead combined some fundamental facts about this moduli space with the May…