论文标题
从微积分中恢复统一的演算
Recovering unitary calculus from calculus with reality
论文作者
论文摘要
与复杂的$ k $ - 理论和$ k $ - 与现实的理论相比，有一些统一函子演算的理论和与现实的统一函子微积分有关，这两者都是魏斯正交演算的概括。在本文中，我们表明，统一函子演算可以完全从具有现实的统一函子微积分中恢复，类似于复杂的拓扑$ k $ - 理论是从$ k $中完全恢复的 - 通过忘记$ c_2 $ - 动作的现实理论。
By analogy with complex $K$--theory and $K$--theory with reality, there are theories of unitary functor calculus and unitary functor calculus with reality, both of which are generalisations of Weiss' orthogonal calculus. In this paper we show that unitary functor calculus can be completely recovered from the unitary functor calculus with reality, in analogy to how complex topological $K$--theory is completely recovered from $K$--theory with reality via forgetting the $C_2$--action.
