Dynamics of viscoelastic liquid filaments: Low capillary number flows, Journal of Non-Newtonian Fluid Mechanics (2007), doi:10.1016/j.jnnfm.2007.10.021 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.