As Linsanity continues and MSG finally returns to nearly two million homes on Time Warner Cable, don’t forget that there’s another hot team in New York City these days. The Broadway Blueshirts are atop their conference for the first time in many a year, playing solid, thrilling hockey that reaches deep into their roster, every night getting contributions from all four lines and a young, determined defense. The New York Rangers might be back on cable, but they’ll also be all over town for Hockey Weekend in New York, part of the NHL’s Hockey Weekend in America program promoting the country’s most exciting live sport. This second annual outdoor hockey festival will feature a number of appearances by current and former Rangers, beginning Saturday at 12 noon (and continuing till 5:00) with Nick Fotiu, Young Ron Greschner, Brian Mullen, Chris Ferraro, and Peter Ferraro giving skating lessons, signing autographs, and holding hockey clinics at Wollman Rink in Central Park; admission is free to anyone in Rangers gear. On Sunday night from 5:00 to 11:00, Youth Hockey Night at MSG will include a pregame forum with John Giannone, Adam Graves, Fotiu, and Mullen, as well as an in-game presentation of the fifth annual Emile Francis Award. And on Presidents’ Day, the Rangers Free Skate will take place at the World Ice Arena in Queens, the Oyster Bay Skating Rink in Bethpage, the Floyd Hall Arena in Little Falls, and the Rye Playland Ice Casino, with Fotiu, Mullen, Graves, Greschner, and Pete Stemkowski giving lessons, posing for photos, signing autographs, and giving away prizes.