Monoidality of Franke’s Exotic Model

On the algebraic classification of K-local spectra

In 1996, Jens Franke proved the equivalence of certain triangulated categories possessing an Adams spectral sequence. One particular application of this theorem is that the K(p)-local stable homotopy category at an odd prime can be described as the derived category of an abelian category. We explain this proof from a topologist’s point of view. In 1983 Bousfield published a paper about the cate...

Monoidality of Kato’s Reflection Functors

Kato has constructed reflection functors for KLR algebras which categorify the braid group action on a quantum group by algebra automorphisms. We prove that these reflection functors are monoidal.

Notes on the biextension of Chow groups

The paper discusses four approaches to the biextension of Chow groups and their equivalences. These are the following: an explicit construction given by S.Bloch, a construction in terms of the Poincaré biextension of dual intermediate Jacobians, a construction in terms of K-cohomology, and a construction in terms of determinant of cohomology of coherent sheaves. A new approach to J. Franke’s Ch...

Conjunctive interpretation of disjunction ∗

In this extended commentary I discuss the problem of how to account for “conjunctive” readings of some sentences with embedded disjunctions for globalist analyses of conversational implicatures. Following Franke (2010, 2009), I suggest that earlier proposals failed, because they did not take into account the interactive reasoning of what else the speaker could have said, and how else the hearer...

Genetic and non-Genetic variations of body weight in iranian native fowl and their crosses with exotic breeds