Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Chernykh, Georgy"'
Autor:
Chernykh, Georgy
We prove that if a complex genus $\varphi \colon \varOmega^U \to R$ is rigid on $SU$-manifolds with a torus action then $\varphi$ is the elliptic Krichever genus.
Externí odkaz:
http://arxiv.org/abs/2402.10049
Autor:
Chernykh, Georgy
We describe the structure of the coefficient ring $W^*(pt)=\varOmega_W^*$ of the $c_1$-spherical bordism theory for an arbitrary $SU$-bilinear multiplication. We prove that for any $SU$-bilinear multiplication the formal group of the theory $W^*$ is
Externí odkaz:
http://arxiv.org/abs/2212.04552
Autor:
Chernykh, Georgy, Panov, Taras
Publikováno v:
Izvestiya: Mathematics 87 (2023), no. 4, 768-797
We study the $SU$-linear operations in complex cobordism and prove that they are generated by the well-known geometric operations $\partial_i$. For the theory $W$ of $c_1$-spherical bordism, we describe all $SU$-linear multiplications on $W$ and proj
Externí odkaz:
http://arxiv.org/abs/2106.11876
Publikováno v:
Russian Math. Surveys 74 (2019), no. 3, 461-524
In the first part of this survey we give a modernised exposition of the structure of the special unitary bordism ring, by combining the classical geometric methods of Conner-Floyd, Wall and Stong with the Adams-Novikov spectral sequence and formal gr
Externí odkaz:
http://arxiv.org/abs/1903.07178