与实谱有关的纤维化
On fibrations related to real spectra
摘要:
我们考虑实谱,Z/(2)-空间的集合在Zo + Z α上的相容性条件。我们在这些谱中产生连接同伦不动点和空间的纤维化。我们还评估了从复到实的复化的遗忘函子的模拟映射。我们的第一个纤维化被用来连接真正的2^{n+2}(2^n-1)-周期的Johnson-Wilson谱ER(n)到通常的2(2^n-1)-周期的Johnson-Wilson谱E(n)。我们的主要结果是纤维化σ ^{lambda(n)} ER(n)--> ER(n)--> E(n)$,其中lambda(n)= 2^{2n+1}-2 ^{n+2}+1。
英文摘要:
We consider real spectra, collections of Z/(2)-spaces indexed over Z oplus Z alpha with compatibility conditions. We produce fibrations connecting the homotopy fixed points and the spaces in these spectra. We also evaluate the map which is the analogue of the forgetful functor from complex to reals composed with complexification. Our first fibration is used to connect the real 2^{n+2}(2^n-1)-periodic Johnson--Wilson spectrum ER(n) to the usual 2(2^n-1)-periodic Johnson--Wilson spectrum, E(n). Our main result is the fibration Sigma^{lambda(n)} ER(n) --> ER(n) --> E(n)$, where lambda(n) = 2^{2n+1}-2^{n+2}+1.
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