论文标题
几何霍奇过滤复合率
Geometric Hodge filtered complex cobordism
论文作者
论文摘要
我们为每一个平滑歧管的霍奇滤波的复合率延伸构建了几何循环模型，并在其DE RHAM复合物上进行过滤，并具有复杂的系数。利用蓬松蛋白植物的改进，我们在几何模型与霍奇过滤的霍德金斯 - Quick的霍迪过滤复合复合物的抽象模型之间构建了明显的同构，以构建霍德·霍德（Hodge）过滤的每个复杂流形的复杂复合物。
We construct a geometric cycle model for a Hodge filtered extension of complex cobordism for every smooth manifold with a filtration on its de Rham complex with complex coefficients. Using a refinement of the Pontryagin-Thom construction, we construct an explicit isomorphism between our geometric model and the abstract model of Hodge filtered complex cobordism of Hopkins-Quick for every complex manifold with the Hodge filtration.
