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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 225, Pages 276–283 (Mi tm726)  
Cobordism of Symplectic Manifolds and Asymptotic Expansions

J. Morava

Johns Hopkins University
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Abstract: The cobordism ring $\mathcal B_*$ of symplectic manifolds defined by V. L. Ginzburg is isomorphic to the Pontrjagin ring of complex-oriented manifolds with free circle actions. This provides an interpretation of the formal group law of complex cobordism as a composition-law on certain asymptotic expansions.
Received in December 1998
Bibliographic databases:
UDC: 515.14
Language: English
Citation: J. Morava, “Cobordism of Symplectic Manifolds and Asymptotic Expansions”, Solitons, geometry, and topology: on the crossroads, Collection of papers dedicated to the 60th anniversary of academician Sergei Petrovich Novikov, Trudy Mat. Inst. Steklova, 225, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 276–283; Proc. Steklov Inst. Math., 225 (1999), 261–268
Citation in format AMSBIB
\Bibitem{Mor99}
\by J.~Morava
\paper Cobordism of Symplectic Manifolds and Asymptotic Expansions
\inbook Solitons, geometry, and topology: on the crossroads
\bookinfo Collection of papers dedicated to the 60th anniversary of academician Sergei Petrovich Novikov
\serial Trudy Mat. Inst. Steklova
\yr 1999
\vol 225
\pages 276--283
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm726}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1725946}
\zmath{https://zbmath.org/?q=an:0981.53087}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1999
\vol 225
\pages 261--268
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