@hheimbuerger if you just want to "sort of" repair it without replacing anything, I'd suggest anchoring the cracks and fragments with some Glass Epoxy. When it comes to adhesive etc., I am kind of a Loctite proponent. Something like this 349 Impruv Light Cure Adhesive should work for you. Of course, any other glass adhesive or even two-part epoxy, should work as well.
If and when you apply any adhesive, place your laptop in a position where you minimize the possibility of any of that getting into the actual LCD panel.
Now, every time you open or close the lid, there might be additional tension on the glass, and it might lead to complete failure. Consider replacing it eventually. Let us know the complete model number for your Lenovo so we could try and help you with that as well.