Developer AvalonBay Communities Inc. wants to start construction next year on a 38-story apartment tower next to the TD Garden that would include a two-story retail arcade connecting to the Garden and North Station.

The development would bring 503 apartments to the city’s West End, where several developers are seeking to move forward with large housing and retail projects. AvalonBay outlined new details of its plan in a filing released Tuesday by the Boston Redevelopment Authority, which must approve the project before construction can begin.