This paper is the first in a series in which we offer a new framework for hermitian K-theory in
the realm of stable∞-categories. Our perspective yields solutions to a variety of classical …

We define Grothendieck-Witt spectra in the setting of Poincaré-categories and show that
they fit into an extension with a K-and an L-theoretic part. As consequences, we deduce …

We prove that Grothendieck-Witt spaces of Poincar\'e categories are, in many cases, group
completions of certain moduli spaces of hermitian forms. This, in particular, identifies …

We establish a fibre sequence relating the classical Grothendieck-Witt theory of a ring 𝑅 to
the homotopy C2-orbits of its K-theory and Ranicki's original (non-periodic) symmetric L …

We define Grothendieck-Witt spectra in the setting of Poincar\'e $\infty $-categories and
show that they fit into an extension with a K-and an L-theoretic part. As consequences we …

This paper is the first in a series in which we offer a new framework for hermitian K-theory in
the realm of stable∞-categories. Our perspective yields solutions to a variety of classical …

The localisation theorem for the K-theory of stable o-categories Page 1 Proceedings of the
Royal Society of Edinburgh, page 1 of 37 DOI:10.1017/prm.2023.35 The localisation …

We establish fundamental motivic results about hermitian K-theory without assuming that 2
is invertible on the base scheme. In particular, we prove that both quadratic and symmetric …

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This paper is the first in a series in which we offer a new framework for hermitian K-theory in
the realm of stable $\infty $-categories. Our perspective yields solutions to a variety of …