论文标题
在东方上的狄拉克操作员的构造
The Construction of Dirac Operators on Orientifolds
论文作者
论文摘要
由Wigner定理的启发，描述了一种规范的结构，该结构产生了一个具有单一和反对对称性的Atiyah-Singer Dirac操作员。该狄拉克操作员将KR理论的狄拉克操作员作为特殊情况，填补了文献中的长期差距。为了使构造构造，使用半等级的dixmier-douady理论来定义和分类方向性自旋结构，并证明了几种标准定理的类似物。
Motivated by Wigner's theorem, a canonical construction is described that produces an Atiyah-Singer Dirac operator with both unitary and anti-unitary symmetries. This Dirac operator includes the Dirac operator for KR-theory as a special case, filling a long-standing gap in the literature. In order to make the construction, orientifold Spin-c-structures are defined and classified using semi-equivariant Dixmier-Douady theory, and analogues of several standard theorems on the existence of Spin-c-structures are proved.
