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We study lens space surgeries along two different families of 2-component links, denoted by Am,n and Bp,q, related with the rational homology 4-ball used in J. Park's (generalized) rational blow down. We determine which coefficient r of the knotted component of the link yields a lens space by Dehn surgery. The link Am,n yields a lens space only by the known surgery with r=mn and unexpectedly with r=7 for (m,n)=(2,3). On the other hand, Bp,q yields a lens space by infinitely many r. Our main tool for the proof are the Reidemeister-Turaev torsions, that is, Reidemeister torsions with combinatorial Euler structures. Our results can be extended to the links whose Alexander polynomials are same as those of Am,n and Bp,q. ? 2013 Australian Mathematical Publishing Association Inc.

LENS SPACE SURGERIES ALONG CERTAIN 2-COMPONENT LINKS RELATED WITH PARK’S RATIONAL BLOW DOWN, AND REIDEMEISTER-TURAEV TORSION