Homology, Homotopy and Applications

E-infinity structure in hyperoctahedral homology

Fiber integration of gerbes and Deligne line bundles

Koszul duality in higher topoi

Constructing coproducts in locally Cartesian closed $\infty$-categories

Stable equivariant complex cobordism of the symmetric group on three elements

On invertible $2$-dimensional framed and $r$-spin topological field theories

Extra structure on the cohomology of configuration spaces of closed orientable surfaces

Multicategories model all connective spectra

On the topological $K$-theory of twisted equivariant perfect complexes

Derived universal Massey products

The homotopy types of $Sp(n)$-gauge groups over $\mathbb{C}P^2$

Coformality around fibrations and cofibrations

Self-closeness numbers of product spaces

A(nother) model for the framed little disks operad

Cyclic $A_\infty$-algebras and cyclic homology

Complex orientations and $\mathrm{TP}$ of complete DVRs

Magnitude homology of graphs and discrete Morse theory on Asao–Izumihara complexes

A degree formula for equivariant cohomology rings

The category of Silva spaces is not integral

Homotopy type of the space of finite propagation unitary operators on $\mathbb{Z}$