nLab Victor Buchstaber

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Selected writings

Introducing the Chern-Dold character (specifically for complex cobordism cohomology):

• Victor Buchstaber, The Chern–Dold character in cobordisms. I,

  Russian original: Mat. Sb. (N.S.), 1970 Volume 83(125), Number 4(12), Pages 575–595 (mathnet:3530)

  English translation: Mathematics of the USSR-Sbornik, Volume 12, Number 4, AMS 1970 (doi:10.1070/SM1970v012n04ABEH000939)

On formal groups and Adams operations:

• Victor M. Buchstaber, Sergei P. Novikov, Formal groups, power systems and Adams operators, Math. USSR-Sb.13 (1971) 80-116 [doi:10.1070/SM1971v013n01ABEH001030]

• Victor Buchstaber, A. P. Veselov, Chern-Dold character in complex cobordisms and abelian varieties (arXiv:2007.05782)

On cobordism cohomology theory:

• Victor Buchstaber, Cobordisms in problems of algebraic topology, J Math Sci 7, 629–653 (1977) (doi:10.1007/BF01084983)

On Hopf algebras and homology of H-spaces (such as homology of loop spaces):

• Victor Buchstaber, Jelena Grbić, Hopf algebras and homology of loop suspension spaces (pdf, pdf) in: V. Buchstaber et al. (eds.), Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov’s Seminar 2012–2014, American Mathematical Society Translations - Series 2

  Advances in the Mathematical Sciences, 2014 (ISBN:978-1-4704-1871-7)

Related entries

• cobordism theory

• bordism ring

• Chern-Dold character

• multivalued group

category: people