3 papers
math.AT2025
Embedding calculus and Vassiliev spectral sequence
Syunji Moriya
Vassiliev spectral sequence and Sinha spectral sequence are both related to cohomology of the space of long knots . Although they have different origins…
math.AT2023
A note on non-simply connected rational homotopy models
Syunji Moriya
In their generalization of the rational homotopy theory to non-simply connected spaces, Gómez-Tato--Halperin--Tanré adopted local systems of commutative differential graded algebra…
math.AT2023
Sinha's spectral sequence for long knots in codimension one and non-formality of the little 2-disks operad
Syunji Moriya
We compute some differentials of Sinha's spectral sequence for cohomology of the space of long knots modulo immersions in codimension one, mainly over a field of characteristic …