nLab Mark Hovey

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Selected writings

On the Conner-Floyd isomorphism for the Atiyah-Bott-Shapiro orientation of KU and KO (cobordism theory determining homology theory):

• Michael Hopkins, Mark Hovey, Spin cobordism determines real K-theory, Mathematische Zeitschrift volume 210, pages 181–196 (1992) (doi:10.1007/BF02571790, pdf)

On stable homotopy theory:

• Mark Hovey, John Palmieri, Neil Strickland, Axiomatic stable homotopy theory, Memoirs Amer. Math. Soc. 610 (1997) [ISBN:978-1-4704-0195-5, pdf]

On monoidal model categories:

• Mark Hovey, Monoidal model categories (arXiv:math/9803002)

On model categories:

• Mark Hovey, Model Categories, Mathematical Surveys and Monographs, Volume 63, AMS (1999) (ISBN:978-0-8218-4361-1, doi:10.1090/surv/063, pdf, Google books)

On general model structures on symmetric spectra (applicable e.g. to model structures for parameterized spectra):

• Mark Hovey, Spectra and symmetric spectra in general model categories, Journal of Pure and Applied Algebra 165 1 (2001) 63-127 [arXiv:0004051, doi:10.1016/S0022-4049(00)00172-9]

On model structures on chain complexes in homological algebra (and in the generality of abelian sheaves of chain complexes):

• Mark Hovey, Model category structures on chain complexes of sheaves (1999) [K-theory:0366, pdf, pdf]

• Mark Hovey, Model category structures on chain complexes of sheaves, Trans. Amer. Math. Soc. 353 6 (2001) [ams:S0002-9947-01-02721-0, jstor:221954]

• Dan Christensen, Mark Hovey, Quillen model structures for relative homological algebra, Math. Proc. Cambridge Philos. Soc. 133 2 (2002) 261-293 [arXiv:math/0011216, doi:10.1017/S0305004102006126]

On algebraic topology:

• Mark Hovey, Algebraic Topology Problem List

Related entries

• 2-model category

category: people