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- A. D. Elmendorf, I. Kriz, M. A. Mandell, J. P. May
- 1997

- P. Hu, I. Kriz, Mark Hovey
- 2004

In this paper, we use conformal field theory to construct a generalized cohomology theory which has some properties of elliptic cohomology theory which was some properties of elliptic cohomology. A part of our presentation is a rigorous definition of conformal field theory following Segal's axioms, and some examples, such as lattice theories associated with… (More)

- IGOR KRIZ
- 1994

With motivation from algebraic topology, algebraic geometry, and string theory, we study various topics in differential homological algebra. The work is divided into five largely independent parts: I Definitions and examples of operads and their actions II Partial algebraic structures and conversion theorems III Derived categories from a topological point… (More)

Using the Landweber}Araki theory of Real cobordism and Real-oriented spectra, we de"ne a Real analogue of the Adams}Novikov spectral sequence. This is a new spectral sequence with a potentially calculable E-term. It has versions converging to either the 9/2-equivariant or the non-equivariant stable 2-stems. We also construct a Real analogue of the… (More)

- PO HU, Yi-Zhi Huang, IGOR KRIZ
- 2004

We describe a formalism allowing a completely mathematical rigorous approach to closed and open conformal field theories with general anomaly. We also propose a way of formalizing modular functors with positive and negative parts, and outline some connections with other topics, in particular elliptic cohomology.

We discuss certain calculations in the 2-complete motivic stable homotopy category over an algebraically closed field of characteristic 0. Specifically , we prove the convergence of motivic analogues of the Adams and Adams-Novikov spectral sequences, and as one application, discuss the 2-complete version of the complex motivic J-homomorphism.

- Igor Kríz
- Graphs and Combinatorics
- 1987

In a paper that has attracted little notice, Priddy showed that the Brown-Peterson spectrum at a prime p can be constructed from the p-local sphere spectrum S by successively killing its odd dimensional homotopy groups. This seems to be an isolated curiosity, but it is not. For any space or spectrum Y that is p-local and (n 0 − 1)-connected and has π n 0… (More)

- Igor Kríz
- Discrete Mathematics
- 1992

The homotopy limit problem for Karoubi's Hermitian K-theory [25] was posed by Thomason in 1983 [48]. There is a canonical map from algebraic Hermitian K-theory to the /2-homotopy fixed points of algebraic K-theory. The problem asks, roughly, how close this map is to being an isomorphism, specifically after completion at 2. In this paper, we solve this… (More)