In meiosis, crossing over and exchange of genetic material between homologous chromosomes are catalysed by the enzyme 

Recombinases are enzymes that catalyse the process of genetic recombination during meiosis. They facilitate the exchange of genetic material between homologous chromosomes, resulting in the formation of recombinant chromosomes with new combinations of alleles.
(1) Phosphorylase is an enzyme involved in the addition or removal of phosphate groups from molecules.
(3) Transferases are enzymes that catalyze the transfer of functional groups, such as amino groups, methyl groups or phosphate groups, from one molecule to another.
(4) Polymerases are enzymes that catalyze the synthesis of nucleic acids, such as DNA or RNA, by adding nucleotides to the growing nucleic acid chain.