实缝合希盖尔弗勒同调
Real sutured Heegaard Floer homology
AI总结：
该研究发展实缝合流形理论及实希盖尔弗勒理论，提出实优美图概念，证明不变量可组合计算，其理论与已有理论有相同结构性质，且不变量有新性质，与缝合弗勒同调不同。
AI中文摘要：
我们发展了实缝合流形的理论以及针对这些流形的实希盖尔弗勒理论。我们提出了实优美图的概念，并证明我们的不变量在组合上是可计算的。我们的理论与尤哈斯的缝合弗勒同调有许多结构性质相同，实缝合流形的拓扑理论与加贝的原始缝合流形理论也如此。我们还表明我们的不变量有几个新的结构性质，使其与缝合弗勒同调不同。
英文摘要：
We develop a theory of real sutured manifolds and a real Heegaard Floer theory for these manifolds. We develop a notion of real nice diagrams, and prove that our invariant is combinatorially computable. Our theory shares many structural properties with Juhász's sutured Floer homology, as does the topological theory of real sutured manifolds with Gabai's original sutured manifold theory. We also show that our invariant has several new structural properties differentiating it from sutured Floer homology.
