nLab Mark Hovey (changes)

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• website

Mark Allen Hovey

• institute page

• MathGenealogy page

• ResearchGate page

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](https://bookstore.ams.org/memo-128-610), pdf]

On monoidal model categories:

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

On model categories:

• Mark Hovey , :Model Categories , Mathematical Surveys and Monographs, Monographs Volume 63, AMS (1999) (ISBN:978-0-8218-4361-163 , AMS (1999) [[ISBN:978-0-8218-4361-1](https://bookstore.ams.org/surv-63-s),doi:10.1090/surv/063, pdf, Google books ) ]

• Mark Hovey, Errata to Model Categories (1999) [[pdf](https://people.math.rochester.edu/faculty/doug/otherpapers/hovey-model-cats-errata.pdf), pdf]

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](http://arxiv.org/abs/math/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](https://faculty.math.illinois.edu/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](https://www.ams.org/journals/tran/2001-353-06/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](https://arxiv.org/abs/math/0011216), doi:10.1017/S0305004102006126]

On algebraic topology:

• Mark Hovey, Algebraic Topology Problem List

Related entries

• 2-model category