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We present three new eclipsing white-dwarf / M-dwarf binary systemsdiscovered during a search for transiting planets around M-dwarfs. Unlike mostknown eclipsing systems of this type, the optical and infrared emission isdominated by the M-dwarf components, and the systems have optical colors anddiscovery light curves consistent with being Jupiter-radius transiting planetsaround early M-dwarfs. We detail the PTF/M-dwarf transiting planet survey, partof the Palomar Transient Factory (PTF). We present a Graphics Processing Unit(GPU)-based box-least-squares search for transits that runs approximately 8Xfaster than similar algorithms implemented on general purpose systems. For thediscovered systems, we decompose low-resolution spectra of the systems intowhite-dwarf and M-dwarf components, and use radial velocity measurements andcooling models to estimate masses and radii for the white dwarfs. The systemsare compact, with periods between 0.35 and 0.45 days and semimajor axes ofapproximately 2 solar radii (0.01 AU). We use the Robo-AO laser guide staradaptive optics system to tentatively identify one of the objects as a triplesystem. We also use high-cadence photometry to put an upper limit on the whitedwarf radius of 0.025 solar radii (95% confidence) in one of the systems. Weestimate that 0.08% (90% confidence) of M-dwarfs are in these short-period,post-common-envelope white-dwarf / M-dwarf binaries where the optical light isdominated by the M-dwarf. Similar eclipsing binary systems can have arbitrarilysmall eclipse depths in red bands and generate plausible small-planet-transitlight curves. As such, these systems are a source of false positives forM-dwarf transiting planet searches. We present several ways to rapidlydistinguish these binaries from transiting planet systems.

Three New Eclipsing White-dwarf - M-dwarf Binaries Discovered in a Search for Transiting Planets Around M-dwarfs