K理论与TMF的转折
Twists of K-theory and TMF
摘要：
本文从arXiv：0810.4535提供的稳定同伦理论和拟范畴理论的角度探讨了扭广义上同调的一种方法。我们解释的关系扭曲的K-理论提供Fredholm丛。我们展示了我们的方法如何使我们能够扭曲椭圆上同调度四类，更一般地由映射到四阶段Postnikov系统BO<0...4>。我们还讨论了庞加莱对偶和umkehr地图在这个设置。
英文摘要：
We explore an approach to twisted generalized cohomology from the point of view of stable homotopy theory and quasicategory theory provided by arXiv:0810.4535. We explain the relationship to the twisted K-theory provided by Fredholm bundles. We show how our approach allows us to twist elliptic cohomology by degree four classes, and more generally by maps to the four-stage Postnikov system BO<0...4>. We also discuss Poincare duality and umkehr maps in this setting.
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