Our guide to dance performances happening this weekend and in the week ahead.

MATTHEW BOURNE’S ‘SWAN LAKE’ at New York City Center (Jan. 30, 8 p.m.; through Feb. 9). Three years after its premiere in London in 1995, this flamboyant production conquered Broadway, winning three Tony Awards, including one for best choreography. It’s the familiar fairy tale with a sexy modern twist: Rather than a flock of female swans and a demure Odette, Bourne gives audiences a gang of bare-chested, feral male swans led by a strapping fellow whose seduction of the Prince flavors the vintage story with overt homoeroticism. And in lieu of classical ballet steps, Bourne brandishes his style of muscular modern dance. After touring the world regularly since its debut, the show returns to New York for 13 performances.

212-581-1212, nycitycenter.org

MAYFIELD BROOKS at Jack (Jan. 30-Feb. 1, 8 p.m.). Marsha P. Johnson was a pioneering transgender activist, charismatic advocate of gay rights and a key figure in the 1969 Stonewall uprising who died in 1992 under mysterious circumstances. In “Letters to Marsha,” Brooks looks to Johnson as a black, queer ancestor, communing with her through written love notes and stormy, impulsive movement that suggests a kind of agitated possession by Johnson’s spirit. That work is paired with “Viewing Hours,” performed as a wake — a potent image that Brooks uses to consider black bodies in relation to death and decay.

646-734-8985, jackny.org

COMPLEXIONS CONTEMPORARY BALLET at the Joyce Theater (Jan. 24, 8 p.m.; Jan. 25, 2 and 8 p.m.; Jan. 26, 2 p.m.; Jan. 28-29, 7:30 p.m.; Jan. 30, 8 p.m.; through Feb. 2). This popular company, known for its sexy athletic artistry, continues its two-week season with more performances of Program A, comprising “Love Rocks,” a new work to songs by Lenny Kravitz, and “Bach 25,” with music by J. S. Bach and his son, C. P. E. Bach. Program B, which begins on Tuesday, pairs “Bach 25” with “Woke,” choreographed last year by Dwight Rhoden, Complexions co-founder. That dance is described by the company as a “socially conscious one-act ballet” and “a physical reaction to the daily news” set to a wide-ranging score, from rap to electronica.

212-242-0800, joyce.org