Well, let me suggest some answer.
Looks like, you have to apply some css to your scene. Let me describe, how it should look like :
Look at the css reference, at the part about "". This type, is a type of -fx-effect property, which is applyable to nodes. SVGPath is a shape, so, a node. Look, at how inner shadow is applied :
innershadow( <blur-type> , <color> , <number> , <number> , <number> , <number> )
you need to apply this (other effects are not supported) to your SVGPaths, when they are hovered. "hover" is a name of such pseudo class.
Now, we need to write a selector for your SVGPaths. Unfortunately, SVGPath has no predefined style-class. So, you need obviously set that style class in your fxml. Suppose, you set style-class "svg-path".
Then, you can apply such css to your scene with map :
.svg-path:hover{-fx-effect:innershadow(...)}