Zobrazeno 1 - 10
of 175
pro vyhledávání: '"Weibel, Charles"'
This paper concerns the computation and identification of the (homological) Conley index over the integers, in the context of discrete dynamical systems generated by continuous maps. We discuss the significance with respect to nonlinear dynamics of u
Externí odkaz:
http://arxiv.org/abs/2303.06492
Autor:
Haesemayer, Christian, Weibel, Charles
Suppose $\Gamma$ is a submonoid of a lattice, not containing a line. In this note, we use the natural $\Gamma$-grading on the monoid algebra $R[\Gamma]$ to prove structural results about the relative $K$-theory $K(R[\Gamma], R)$. When $R$ contains a
Externí odkaz:
http://arxiv.org/abs/2209.04029
Autor:
Coley, Ian, Weibel, Charles
We develop the K-theory of sets with an action of a pointed monoid (or monoid scheme), analogous to the $K$-theory of modules over a ring (or scheme). In order to form localization sequences, we construct the quotient category of a nice regular categ
Externí odkaz:
http://arxiv.org/abs/2109.03193
For a fixed $N$, we analyze the space of all sequences $z=(z_1,\dots,z_N)$, approximating a continuous function on the circle, with a given persistence diagram $P$, and show that the typical components of this space are homotopy equivalent to $S^1$.
Externí odkaz:
http://arxiv.org/abs/2105.08130
We establish some structural results for the Witt and Grothendieck-Witt groups of schemes over $\mathbb{Z}[1/2]$, including homotopy invariance for Witt groups and a formula for the Witt and Grothendieck-Witt groups of punctured affine spaces over a
Externí odkaz:
http://arxiv.org/abs/2004.07779
Autor:
Karoubi, Max, Weibel, Charles
Let $V$ be an algebraic variety defined over $\mathbb R$, and $V_{top}$ the space of its complex points. We compare the algebraic Witt group $W(V)$ of symmetric bilinear forms on vector bundles over $V$, with the topological Witt group $WR(V_{top})$
Externí odkaz:
http://arxiv.org/abs/1909.01514
This paper studies the K-theory of categories of partially cancellative monoid sets, which is better behaved than that of all finitely generated monoid sets. A number of foundational results are proved, making use of the formalism of CGW-categories d
Externí odkaz:
http://arxiv.org/abs/1909.00297
Autor:
Karoubi, Max, Weibel, Charles
We introduce a version of the Brauer--Wall group for Real vector bundles of algebras (in the sense of Atiyah), and compare it to the topological analogue of the Witt group. For varieties over the reals, these invariants capture the topological parts
Externí odkaz:
http://arxiv.org/abs/1901.04393
