The way you're writing it is equivalent to
HashMap<Object, Object> map = new HashMap<Object, Object>();
What goes inside the brackets is you communicating to the compiler what you're going to put in the HashMap so that it can do error checking for you. If Object, Object is what you actually want (probably not) you should explicitly declare it. In general you should be as explicit as you can with the declaration to facilitate error checking by the compiler. What you've described should probably be declared like this:
HashMap<String, Object> map = new HashMap<String, Object>();
That way you at least declare that your keys are going to be strings, but your values can be anything. Just remember to use a cast when you get a value back out.