AI 中文总结
本文将维特博同构提升为复配边谱MU与球谱𝕊上的模的关系，指出即使基是旋的，𝕊层级陈述经基变换后也无法恢复MU层级陈述。
AI 中文摘要
维特博同构将余切丛的辛上同调与其基的自由环路空间的同调关联起来。我们将其提升为复配边谱MU与球谱𝕊上的模之间的关系。特别地，根据Porcelli与本文作者[BP26]的结果，一般而言，即使基是旋的，𝕊层级的陈述也不会在基变换后恢复MU层级的陈述。
英文摘要
The Viterbo isomorphism relates the symplectic cohomology of a cotangent bundle to the homology of the free loop space of its base. We lift this to a relation of modules over (1) the complex bordism spectrum MU and (2) the sphere spectrum $\mathbb{S}$. In particular, by a result of Porcelli and the present author [BP26], it is not the case that, in general, the $\mathbb{S}$-level statement recovers the MU-level statement after base-change -- even in the case the base is spin.
Comments30 pages
