论文标题
听到不等的旋转结构和异国狄拉克操作员的形状
Hearing the shape of inequivalent spin structures and exotic Dirac operators
论文作者
论文摘要
异国纺纱球场来自非平凡拓扑歧管上的不相等的旋转结构，$ m $。这会在狄拉克运营商中引起一个额外的术语，该术语由同居组$ h^1（m，\ m rathbb {z} _2）$定义，该$统治了CECH共同体学类。这种形式主义扩展了任何有限维度的流形，并具有任意签名指标。加热核系数的外来校正，将异国情调的算子与$ m $的几何不变式相关的光谱特性进行了衍生和审查。
Exotic spinor fields arise from inequivalent spin structures on non-trivial topological manifolds, $M$. This induces an additional term in the Dirac operator, defined by the cohomology group $H^1(M,\mathbb{Z}_2)$ that rules a Cech cohomology class. This formalism is extended for manifolds of any finite dimension, endowed with a metric of arbitrary signature. The exotic corrections to heat kernel coefficients, relating spectral properties of exotic Dirac operators to the geometric invariants of $M$, are derived and scrutinized.
