Normally, the after wedding dinner/dance is referred to an a reception. If including just dance, you may want to use the word celebration as reception implies some sort of food will be supplied.
You are most cordially invited to join us for an after wedding dance on (date) at (time). We would be highly obliged by your gracious presence. Hoping to see you there
You are invited to a dance reception in honor of Mr. and Mrs. Joseph Smith on January sixth two thousand ten at the Hilton hotel. We look forward to celebrating with you!
Jacey and John would like to extend a special invitation to you, and a guest, to join them Friday, January 6, 1991 to celebrate their marriage at their after wedding dance.