nLab Igor Křiž

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Selected writings

On the rational homotopy type of configuration spaces of points:

• Igor Kriz, On the Rational Homotopy Type of Configuration Spaces, Annals of Mathematics Second Series, Vol. 139, No. 2 (Mar., 1994), pp. 227-237 (jstor:2946581)

On higher algebra (brave new algebra) in stable homotopy theory, i.e. on ring spectra, module spectra etc.:

• Anthony Elmendorf, Igor Kriz, Michael Mandell, Peter May,

  Rings, modules and algebras in stable homotopy theory, Mathematical Surveys and Monographs Volume 47, AMS 1997 (ISBN:978-0-8218-4303-1, pdf)

On equivariant complex oriented cohomology theory and equivariant formal group laws:

• Michael Cole, John Greenlees, Igor Kriz, Equivariant Formal Group Laws, Proceedings of the LMS, Volume81, Issue2 (2000)(doi:10.1112/S0024611500012466)

• Michael Cole, John Greenlees, Igor Kriz, The universality of equivariant complex bordism, Math Z 239, 455–475 (2002) (doi:10.1007/s002090100315)

On modular equivariant elliptic cohomology in type II string theory/F-theory:

• Igor Kriz, Hisham Sati, M-theory, type IIA superstrings, and elliptic cohomology, Adv. Theor. Math. Phys. 8 (2004), no. 2, 345–394 (euclid:euclid.atmp/1091543172, arXiv:hep-th/0404013)

• Igor Kriz, Hisham Sati, Type IIB String Theory, S-Duality, and Generalized Cohomology, Nucl.Phys. B715 (2005) 639-664 (arXiv:hep-th/0410293)

• Igor Kriz, Hisham Sati, Type II string theory and modularity, JHEP 0508 (2005) 038 (arXiv:hep-th/0501060)

Discussion of equivariant ordinary cohomology (Bredon cohomology) over the point but in arbitrary RO(G)-degree, for equivariance group a dihedral group of order $2p$:

• Igor Kriz, Yunze Lu, On the $RO(G)$-graded coefficients of dihedral equivariant cohomology, Mathematical Research Letters 27 4 (2020) (arXiv:2005.01225, doi:10.4310/MRL.2020.v27.n4.a7)

The Adams spectral sequence for Real cobordism cohomology:

• Po Hu, Igor Kriz, Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence, Topology 40 (2001) 317-399 [doi:10.1016/S0040-9383(99)00065-8, pdf]

More on Real cobordism cohomology:

• Po Hu, Igor Kriz, Some Remarks on Real and Algebraic Cobordism, K-Theory 22 (2001) 335–366 [pdf, doi:10.1023/A:1011196901303]

• Po Hu, Igor Kriz, Topological Hermitian Cobordism, Journal of Homotopy and Related Structures, 11 (2016) 173–197 [arXiv:1110.5608, doi:10.1007/s40062-014-0100-9]

For the use of category theory in integration, see

• Igor Kriz, Aleš Pultr, Categorical Geometry and Integration Without Points, Applied Categorical Structures (2014) Vol. 22, p.79-97 (arXiv:1101.3762, doi:10.1007/s10485-012-9295-2)

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