I don't know anything about the maple you have.....but I know about roots getting in the way of mowing. I am finding the larger the roots are getting the harder it is for the mower....thus around the base of all my liquid ambers that are in the lawn are getting a dose of Round Up (keeping off the trunk) so I don't have to mow up and down the gullies the roots are making.
I have fescue/burmuda and where it is shaded by the
trees the fescue seems to dominate. Now don't ask me what kind of fescue...I haven't a clue....all this was in before I moved here....and remember I am in
zone 9.
I have read (but no personal experience and not going to even attempt it) that if you have roots (from a liquid amber) that are going under concrete etc. that you can dig down and remove them and put in some kind of vertical barrier....it said it will not stop them but slow them down and you will have to do this periodically over the years. Don't trust just one source ....read, read, read and get more advise from someone who has actually done it to the same kind of
tree you have.
I don't know if any of that info was of any help.

Catlover