Algebraic and homological aspects of Hermitian \(K\)-theory
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Publication:6633158
DOI10.1134/s0081543824020147MaRDI QIDQ6633158
Publication date: 5 November 2024
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Hermitian (K)-theory, relations with (K)-theory of rings (19G38) (L)-theory of group rings (19G24) Surgery obstructions ((K)-theoretic aspects) (19J25)
Cites Work
- Some 𝐿 groups of finite groups
- On Steenrod's Reduced Powers, the Index of Inertia, and the Todd Genus
- Über die Arfsche Invariante quadratischer Formen mod 2.
- On the algebraic cobordism spectra 𝐌𝐒𝐋 and 𝐌𝐒𝐩
- Algebraic \(K\)-theory
- Excision in algebraic \(K\)-theory
- Triangular Witt groups. II: From usual to derived
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- Hermitian \(K\)-theory, derived equivalences and Karoubi's fundamental theorem
- Algebraic K-theory (in the Steklov mathematical institute of the academy of sciences)
- Algebraic K-theory of quadratic forms
- The computation of odd dimensional projective surgery groups of finite groups
- Théorie de Quillen et homologie du groupe orthogonal
- Projective surgery theory
- Le théorème fondamental de la K-théorie hermitienne
- Classification of Hermitian forms. VI: Group rings
- The uniqueness of infinite loop space machines
- Delooping classifying spaces in algebraic K-theory
- On the classification of Hermitian forms. IV: Adele rings
- On the classification of Hermitian forms. V: Global rings
- On the Milnor conjectures: history, influence, applications.
- Triangular Witt groups. I: The 12-term localization exact sequence
- On topological cyclic homology
- The cyclotomic trace and algebraic K-theory of spaces
- Categories and cohomology theories
- Constructions and dévissage in Hermitian K-theory
- The Novikov conjecture. Geometry and algebra
- A universal characterization of higher algebraic \(K\)-theory
- Hermitian K-theory for stable \(\infty\)-categories. I: Foundations
- On the relation of symplectic algebraic cobordism to Hermitian \(K\)-theory
- Algebraic K-theory
- Uniqueness of the multiplicative cyclotomic trace
- Surgery of non-simply-connected manifolds
- Formes quadratiques, groupes orthogonaux et algèbres de Clifford
- On the functor \(K_ 2\), I
- On Mayer-Vietoris functors and algebraic K-theory
- The Adams conjecture
- Steinberg orthogonal group over a ring with involution
- Quadratic forms over commutative group rings and the K-theory
- Unitary Steinberg group over a ring with involution
- On the classification of Hermitian forms. II: Semisimple rings
- Some relations between higher K-functors
- On the structure of the unitary Steinberg group
- On the classification of Hermitian forms. III: Complete semilocal rings
- Groups of homotopy spheres. I
- Sur quelques points d'algèbre homologique
- On the algebraicK-theory of higher categories
- Higher Algebraic K-Theory (After Quillen, Thomason and Others)
- Hermitian K-theory of exact categories
- Modifications and Cobounding Manifolds
- HERMITIANK-THEORY. THE THEORY OF CHARACTERISTIC CLASSES AND METHODS OF FUNCTIONAL ANALYSIS
- Localization in lower algebraic k-theory
- THE CONSTRUCTION OF DISCRIMINANTS IN HERMITIANK-THEORY
- K-Theory of Forms. (AM-98)
- On the equivalence of k-theories
- The Algebraic Theory of Surgery I. Foundations
- The Algebraic Theory of Surgery II. Applications to Topology
- Higher algebraic K-theory: I
- Localisation de formes quadratiques $I$
- Localisation de formes quadratiques. II
- FOUNDATIONS OF ALGEBRAICK-THEORY
- $K$-théorie algébrique et représentations de groupes
- ON PERIODICITY IN HERMITIAN THEORIES
- LOCALIZATION IN HERMITIAN $K$-THEORY OF RINGS
- The Novikov conjecture
- Riemann-Roch theorems for differentiable manifolds
- Wall’s surgery obstruction groups for 𝑍×𝐺, for suitable groups 𝐺
- Manifolds with free abelian fundamental groups and their applications (Pontrjagin classes, smoothnesses, multidimensional knots)
- ALGEBRAIC CONSTRUCTION AND PROPERTIES OF HERMITIAN ANALOGS OFK-THEORY OVER RINGS WITH INVOLUTION FROM THE VIEWPOINT OF HAMILTONIAN FORMALISM. APPLICATIONS TO DIFFERENTIAL TOPOLOGY AND THE THEORY OF CHARACTERISTIC CLASSES. I
- HOMOTOPY INVARIANTS OF NONSIMPLY CONNECTED MANIFOLDS. I RATIONAL INVARIANTS
- ALGEBRAIC CONSTRUCTION AND PROPERTIES OF HERMITIAN ANALOGS OF $ K$-THEORY OVER RINGS WITH INVOLUTION FROM THE VIEWPOINT OF HAMILTONIAN FORMALISM. APPLICATIONS TO DIFFERENTIAL TOPOLOGY AND THE THEORY OF CHARACTERISTIC CLASSES. II
- Introduction to Algebraic K-Theory. (AM-72)
- HOMOTOPY INVARIANTS OF NONSIMPLY CONNECTED MANIFOLDS. III. HIGHER SIGNATURES
- HOMOTOPY INVARIANTS OF NONSIMPLY CONNECTED MANIFOLDS. II: SIMPLE HOMOTOPY TYPE
- ALGEBRAICK-THEORY AS EXTRAORDINARY HOMOLOGY THEORY ON THE CATEGORY OF ASSOCIATIVE RINGS WITH UNITY
- On the spectrum of algebraic 𝐾-theory
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