The universal six-functor formalism

نویسندگان

چکیده

We prove that Morel-Voevodsky's stable $\mathbb{A}^1$-homotopy theory affords the universal coefficient system, giving rise to Grothendieck's six operations.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Universal formalism of Fano resonance

Articles you may be interested in Resonant electromagnetic scattering in anisotropic layered media A systematic study of water-filled submerged elastic spherical shells and the resolution of elastic-and water-included resonances The phenomenon of Fano resonance is ubiquitous in a large variety of wave scattering systems, where the resonance profile is typically asymmetric. Whether the parameter...

متن کامل

A Modular Functor Which is Universal for Quantum Computation

We show that the topological modular functor from Witten–Chern–Simons theory is universal for quantum computation in the sense that a quantum circuit computation can be efficiently approximated by an intertwining action of a braid on the functor’s state space. A computational model based on Chern–Simons theory at a fifth root of unity is defined and shown to be polynomially equivalent to the qu...

متن کامل

A Formalism for Universal Segmentation of Text

Sumo is a formalism for universal segmentation of text Its purpose is to provide a framework for the creation of segmentation applications It is called universal as the formalism itself is independent of the language of the documents to process and independent of the levels of seg mentation e g words sentences paragraphs morphemes considered by the target applica tion This framework relies on a...

متن کامل

The Functor of Points, Yoneda’s Lemma, Moduli Spaces, and Universal Properties

The second question is far more substantive, and deals with moduli spaces. These are algebraic varieties (or schemes) which are supposed to naturally parametrize certain objects, as the Grassmannian G(r, d) parametrizes r-dimensional subspaces of a fixed d-dimensional space. The problem is that usually such a description only describes the points as a set, and doesn’t explain what the geometric...

متن کامل

The quadratic Fock functor

We construct the quadratic analogue of the boson Fock functor. While in the first order (linear) case all contractions on the 1–particle space can be second quantized, the semigroup of contractions that admit a quadratic second quantization is much smaller due to the nonlinearity. The encouraging fact is that it contains, as proper subgroups (i.e. the contractions), all the gauge transformation...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Annals of K-theory

سال: 2022

ISSN: ['2379-1691', '2379-1683']

DOI: https://doi.org/10.2140/akt.2022.7.599