锥伪流形上的椭圆符号、椭圆算子和Poincaré对偶
Elliptic symbols, elliptic operators and Poincaré duality on conical pseudomanifolds
摘要：
在Claire Debord和作者的早期工作中，对锥伪流形定义了非对易切空间的概念，并在此空间和伪流形之间证明了$K$ -理论中的Poincaré对偶。本文件继续这项工作。我们证明，流形上符号概念的适当而自然的表达可以立即推广到圆锥伪流形，并且它使我们能够将奇异环境中的庞加莱二元性解释为主象征映射。
英文摘要：
In a earlier work of Claire Debord and the author, a notion of noncommutative tangent space isdefined for a conical pseudomanifold and the Poincaré duality in $K$-theory is proved between this space and the pseudomanifold. The present paper continues this work. We show that an appropriate and natural presentation of the notion of symbols on a manifold generalizes right away to conical pseudomanifolds and that it enables us to interpret the Poincaré duality in the singular setting as a principal symbol map.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
