2 citations · 7 across the 12 of their papers we have counts for
12 papers
A multiplicative universal property for real algebraic -theory
Hadrian Heine, Markus Spitzweck, Paula Verdugo
We prove that the real -theory functor is lax symmetric monoidal. Moreover, it is initial among those real functors that a…
An equivalence between two frameworks for real algebraic K-theory
Hadrian Heine, Markus Spitzweck, Paula Verdugo
We prove an equivalence between the real -theory genuine -spectra of Calmès et al. for Poincaré -categories and the one of the authors of this work for Waldhausen $…
A local-global principle for parametrized -categories
Hadrian Heine
We prove a local-global principle for -categories over any base -category : we show that any -category over $\mat…
A derived Milnor-Moore theorem
Hadrian Heine
For every stable presentably symmetric monoidal -category we use the Koszul duality between the spectral Lie operad and the cocommutative cooperad to construc…
On bi-enriched -categories
Hadrian Heine
We extend Lurie's definition of enriched -categories to notions of left enriched, right enriched and bienriched -categories, which generalize the concepts of closed…
The higher algebra of weighted colimits
Hadrian Heine
We develop a theory of weighted colimits in the framework of weakly bienriched -categories, an extension of Lurie's notion of enriched -categories. We prove an exis…
An equivalence between two models of -categories of enriched presheaves
Hadrian Heine
Let be a -operad that exhibits an -category as weakly bitensored over non-symmetric -operads $\mathcal{V},…
An equivalence between enriched -categories and -categories with weak action
Hadrian Heine
We show that an -category with a closed left action of a monoidal -category is completely determined by the -valued graph o…
Real K-theory for Waldhausen infinity categories with genuine duality
Hadrian Heine, Markus Spitzweck, Paula Verdugo
We develop a new framework to study real -theory in the context of -categories. For this, we introduce Waldhausen -categories with genuine duality, which will be…
A duality between monads and monadic morphisms
Hadrian Heine
We establish a duality between monads and monadic morphisms in any -category and characterize monadic morphisms in a wide class of examples. This duality unifies severa…
A topological model for cellular motivic spectra
Hadrian Heine
For any motivic -ring spectrum we construct an equivalence between the -category of cellular motivic -module spectra and modules over an $\mat…
Infinity categories with duality and hermitian multiplicative infinite loop space machines
Hadrian Heine, Alejo Lopez-Avila, Markus Spitzweck
We show that any preadditive infinity category with duality gives rise to a direct sum hermitian K-theory spectrum. This assignment is lax symmetric monoidal, thereby producing E-i…