5 papers
False-vacuum bubbles in sphaleron scattering
Manuel A. Martínez Sánchez, Christoph Adam, Danial Saadatmand
We investigate the collision dynamics of two bright sphalerons in a (1+1)-dimensional deformed scalar field theory with a symmetric potential possessing false vacua. Two one-…
Higher Spherical Scissors Congruence I: Hopf Algebra
Inbar Klang, Josefien Kuijper, Cary Malkiewich +2
In the study of the generalization of Hilbert's Third Problem to spherical geometry, Sah constructed a Hopf algebra of spherical polytopes with product given by join and coproduct…
From Hopf Algebras in Model Categories to Hopf Algebras in -categories
Inbar Klang, Josefien Kuijper, Cary Malkiewich +2
We show that algebra objects in model categories can be transferred to algebra objects in -categories, without any cofibrancy or fibrancy assumptions on the algebra. We fur…
An isovariant Blakers--Massey theorem
Inbar Klang, Sarah Yeakel
An isovariant map is an equivariant map between -spaces which strictly preserves isotropy groups. In this paper, we lay the groundwork for the study of isovariant stable homotop…
Trace methods for equivariant algebraic K-theory
David Chan, Teena Gerhardt, Inbar Klang
In the past decades, one of the most fruitful approaches to the study of algebraic -theory has been trace methods, which construct and study trace maps from algebraic -theory…