Absolute phrases are made of nouns or pronouns followed by a participle and any modifiers of the noun or pronoun. Absolute phrases contain a subject (unlike participial phrases), and no predicate. They serve to modify an entire sentence.
Examples:
Joan looked nervous, her fears creeping up on her.
noun/subject: her fears
participle: creeping
modifier: up on her
absolute phrase: her fears creeping up on her
Source: http://www.ucalgary.ca/UofC/eduweb/grammar/course/sentence/2_4e.htm