This is the 5709th most frequent Spanish word.
relacionada
"Related."
In this sentence, "relacionado" is used as a past participle adjective to indicate a connection or relation between the subject (my work) and the complement (technology).
Mi trabajo está relacionado con la tecnología.
My work is related to technology.
Here, "relacionada" agrees in gender with "cosa" (feminine noun) and describes the relationship of the object to music.
Ella se interesa en cualquier cosa relacionada con la música.
She is interested in anything related to music.
In this context, "relacionada" functions as an attribute to the noun "investigación," implying that the research described has a specific connection to a mentioned or understood topic.