Previous studies have shown that chemotherapy has the same effect on treating breast cancer whether you receive it before or after surgery. Receiving chemotherapy before surgery, rather than after surgery, may allow the patient to have less extensive surgery. The purpose of this study is to identify new treatment regimens with better response rates and to find out if the combination of eribulin followed by doxorubicin and cyclophosphamide can shrink the size of the patient's breast tumor and allow you to preserve your breast. Additionally, by receiving chemotherapy before surgery, the investigators will be able to determine if your cancer is responsive to chemotherapy.