Bought house w/ boyfriend, now its over...what to do with the house??

I bought a house in May with my boyfriend of two years. Now two months later, he wants to call it quits and wants me to move out. He wants to refinance the house in his name, but I do not think he would qualify alone because neither of us initally qualified for the home with out the others income. Can he refinance the house without my approval or signing a quit claim deed?

I want the house to be sold, however the house is in a new housing area , so I think selling it would be impossible at this point. I do not want to sign my rights to the house over to him with a quit claim deed. Is there any way I can force the house to be sold? Are there any special stipulations that can be tied to the quit claim deed saying he has to give me half of any equity in the house?

I have no clue what to do at this point. Any help any one can offer would be greatly appreciated.
Thank you.

If two or more owners cannot agree on what to do with a piece of property they may petition the court and the court will order a sale or refinancing etc. so that the one or more may get out of the property obligation and/or the other(s) may keep it etc.--it is often done-- (This is true in some cases even for equitable owners that have paid various amounts etc., but for various reasons, may not be on title.)