7 citations · 15 across the 15 of their papers we have counts for
6 papers · 1 filter
There is no Cazanave's Theorem for punctured affine space
Thomas Brazelton, William Hornslien
In his thesis, Cazanave proved that the set of naive -homotopy classes of endomorphisms of the projective line admits a monoid structure whose group completion is gen…
Equivariant enumerative geometry
Thomas Brazelton
We formulate an equivariant conservation of number, which proves that a generalized Euler number of a complex equivariant vector bundle can be computed as a sum of local indices of…
An enriched degree of the Wronski
Thomas Brazelton
Given different -planes in general position in -dimensional space, a classical problem is to ask how many -planes intersect all of them. For example when $m = p =…
Homotopy Mackey functors of equivariant algebraic -theory
Thomas Brazelton
Given a finite group acting on a ring , Merling constructed an equivariant algebraic -theory -spectrum, and work of Malkiewich and Merling, as well as work of Barwick,…
The trace of the local -degree
Thomas Brazelton, Robert Burklund, Stephen McKean +2
We prove that the local -degree of a polynomial function at an isolated zero with finite separable residue field is given by the trace of the local -deg…
Constructing the Unstable Motivic Homotopy Category Using -Categories
Thomas Brazelton
This is an expository paper providing an overview of the unstable motivic homotopy category using the theory of -categories. In this paper, we examine two constructions…