We study perturbed Dirac operators of the form $ D_s= D + s{\cal A}:\Gamma(E)\rightarrow \Gamma(F)$ over a compact Riemannian manifold $(X, g)$with symbol $c$ and special bundle maps ${\cal A} : E\rightarrow F$ for $s>>0$.Under a simple algebraic criterion on the pair $(c, {\cal A})$, solutions of$D_s\psi=0$ concentrate as $s\to\infty$ around the singular set $Z_\A\subset X$of ${\cal A}$. We give many examples, the most interesting ones arising from ageneral ``spinor pair'' construction.
展开▼
机译：我们研究形式为$ D_s = D + s {\ cal A}：\ Gamma（E）\ rightarrow \ Gamma（F）$的扰动Dirac算子在紧致黎曼流形$（X，g）$上的符号$ c $和特殊束映射$ {\ cal A}：E \ rightarrow F $ for $ s >> 0 $。在对$（c，{\ cal A}）$上的简单代数准则下，$ D_s \ psi的解= 0 $以$ s \ to \ infty $集中在$ {\ cal A} $的奇异集合$ Z_ \ A \ subset X $周围。我们举了许多例子，最有趣的例子来自一般的``纺丝对''构造。
展开▼
