the choice of library does not affect the kernel. Any C library can be used with a kernel as long as the c library uses the linux ABI (which is the case since otherwise the library is useless). You can even use two different C libraries on the same kernel or no C library at all. The source of the linux kernel does not depend on any other source code than its own. The only exception are the tools that are needed to compile the kernel.
To find the version of the C library enter the following command: