THE HOMOTOPY LIMIT PROBLEM FOR HERMITIAN K-THEORY, EQUIVARIANT MOTIVIC HOMOTOPY THEORY AND MOTIVIC REAL COBORDISM P.HU, I.KRIZ, K.ORMSBY 1. I

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• Homotopy theory
• Mathematics
• Topology
• Algebra
• Model category
• Homotopy category
• Spectrum
• Equivariant map
• Cohomology
• Equivariant stable homotopy theory
• Simplicial presheaf
• Homotopy

STRINGY BUNDLES AND INFINITE LOOP SPACE THEORY J.M.GOMEZ, P. HU AND I. KRIZ 1. introduction In this note, we describe a new a candidate for an elliptic cohomology-type spectrum based on conformal field theory. The new mo

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• Abstract algebra
• Algebra
• Mathematics
• Category theory
• Functors
• Fibred category
• Natural transformation
• Equivalence of categories
• Universal property
• Grothendieck topology
• Sheaf
• Forgetful functor

A UNIVERSAL APPROACH TO VERTEX ALGEBRAS ˇ PULTR RUTHI HORTSCH, IGOR KRIZ AND ALES 1. Introduction The notion of vertex algebra due to Borcherds [3] and Frenkel-Lepowsky-Meurman

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• Category theory
• Abstract algebra
• Conformal field theory
• Non-associative algebra
• Vertex operator algebra
• Operad theory
• Algebra over a field
• F-algebra
• C*-algebra
• Universal algebra

CONFORMAL FIELD THEORY AND ELLIPTIC COHOMOLOGY P. HU AND I. KRIZ 1. Introduction The purpose of the present paper is to address an old question (posed by Segalto find a geometric construction of elliptic cohomolog

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• Algebra
• Abstract algebra
• Mathematics
• Cohomology
• Homological algebra
• Vertex operator algebra
• Sheaf
• AtiyahSinger index theorem
• Crystalline cohomology
• Differential forms on a Riemann surface

PERTURBATIVE DEFORMATIONS OF CONFORMAL FIELD THEORIES REVISITED IGOR KRIZ 1. Introduction Recently, there has been renewed interest in the mathematics of the moduli space

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• Quantum field theory
• String theory
• Solid mechanics
• Theoretical physics
• Conformal field theory
• Vertex operator algebra
• Moduli space
• Deformation
• Plasticity
• Instanton
• Moduli
• Worldsheet

CATEGORICAL GEOMETRY AND INTEGRATION WITHOUT POINTS ˇ PULTR IGOR KRIZ AND ALES (dedicated to the memory of Irving Segal) Abstract. Theory of integration over infinite-dimensional spaces

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Bibliography of Igor Kriz [1] I.Kriz, Y.Xiu: Tree field algebras, preprint (preliminary version), I.Kriz, M.Loebl, P.Somberg: Fermions on a compact Riemann surface and limits of dimer models, preprint (prelimin

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• Topology
• Homotopy theory
• Mathematics
• Abstract algebra
• Cohomology
• Cobordism
• Homotopy category
• Equivariant stable homotopy theory
• Adams spectral sequence
• Algebraic topology
• K-theory
• Stable homotopy theory

COMPLETING VERLINDE ALGEBRAS DANIEL KNEEZEL AND IGOR KRIZ Abstract. We compute the completion of the Verlinde algebra of a simply connected simple compact Lie group G at the augmentation ideal of the representation ring.

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ALGEBRAIC VECTOR BUNDLES OVER COMPLEMENTS OF HYPERPLANE ARRANGEMENTS IN AFFINE SPACES OVER A FIELD IGOR KRIZ In questions related to algebraic models of chiral conformal field

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• Algebra
• Abstract algebra
• Mathematics
• Algebraic geometry
• Vector bundles
• Module theory
• Homological algebra
• Projective module
• Algebraic varieties
• Proj construction
• Vector space
• Affine space

TOPOLOGICAL HERMITIAN COBORDISM PO HU AND IGOR KRIZ 1. Introduction A decade ago, the authors [5] studied Real cobordism M R, an RO(Z/2)graded Z/2-equivariant spectrum discovered by Landweber [9], which is related to com

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• Algebraic topology
• Cohomology
• Classifying space
• Cobordism
• Thom space
• Equivariant cohomology
• StiefelWhitney class