Quillen's work on formal group laws and complex cobordism theory
DOI10.1017/is011001005jkt209zbMath1282.55005OpenAlexW2326815917MaRDI QIDQ5397677
Publication date: 24 February 2014
Published in: Journal of K-theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/is011001005jkt209
History of mathematics in the 20th century (01A60) Biographies, obituaries, personalia, bibliographies (01A70) Elliptic cohomology (55N34) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Complex cobordism ((mathrm{U})- and (mathrm{SU})-cobordism) (57R77) Adams spectral sequences (55T15) Formal groups, (p)-divisible groups (14L05) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) History of algebraic topology (55-03)
Cites Work
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- Elliptic genera and quantum field theory
- The localization of spectra with respect to homology
- On the structure and applications of the Steenrod algebra
- The Hopf ring of Morava K-theory
- Noetherian localisations of categories of cobordism comodules
- Nilpotence and stable homotopy theory. I
- BP operations and Morava's extraordinary K-theories
- The structure of Morava stabilizer algebras
- The cohomology of the Morava stabilizer algebras
- Morava stabilizer algebras and the localization of Novikov's \(E_2\)-term
- Periodic phenomena in the Adams-Novikov spectral sequence
- The stable homotopy of the classical groups
- On the groups \(J(X)\). IV
- A spectrum whose \(Z_ p\) cohomology is the algebra of reduced \(p\)-th powers
- On spectra realizing exterior parts of the Steenrod algebra
- On the homotopy groups of spheres and rotation groups
- On the Cobordism Ring Ω ∗ and a Complex Analogue, Part I
- Localization with Respect to Certain Periodic Homology Theories
- The Morava K-Theories of Eilenberg-MacLane Spaces and the Conner-Floyd Conjecture
- Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128)
- On Realizing Complex Bordism Modules IV Applications to the Stable Homotopy Groups of Spheres
- Residues of differentials on curves
- On the formal group laws of unoriented and complex cobordism theory
