In IE 10 & 11, The classList property is defined on HTMLElement.prototype.
In order to get it to work on SVG-elements, the property should be defined on Element.prototype, like it has been on other browsers.
A very small fix would be copying the exact propertyDescriptor from HTMLElement.prototype to Element.prototype:
if (!Object.getOwnPropertyDescriptor(Element.prototype,'classList')){
    if (HTMLElement&&Object.getOwnPropertyDescriptor(HTMLElement.prototype,'classList')){
        Object.defineProperty(Element.prototype,'classList',Object.getOwnPropertyDescriptor(HTMLElement.prototype,'classList'));
    }
}
- We need to copy the descriptor, since Element.prototype.classList = HTMLElement.prototype.classListwill throwInvalid calling object
- The first check prevents overwriting the property on browsers which support is natively.
- The second check is prevents errors on IE versions prior to 9, where HTMLElement is not implemented yet, and on IE9 where classList is not implemented.
For IE 8 & 9, use the following code, I also included a (minified) polyfill for Array.prototype.indexOf, because IE 8 does not support it natively (polyfill source: Array.prototype.indexOf
//Polyfill Array.prototype.indexOf
Array.prototype.indexOf||(Array.prototype.indexOf=function (value,startIndex){'use strict';if (this==null)throw new TypeError('array.prototype.indexOf called on null or undefined');var o=Object(this),l=o.length>>>0;if(l===0)return -1;var n=startIndex|0,k=Math.max(n>=0?n:l-Math.abs(n),0)-1;function sameOrNaN(a,b){return a===b||(typeof a==='number'&&typeof b==='number'&&isNaN(a)&&isNaN(b))}while(++k<l)if(k in o&&sameOrNaN(o[k],value))return k;return -1});
// adds classList support (as Array) to Element.prototype for IE8-9
Object.defineProperty(Element.prototype,'classList',{
    get:function(){
        var element=this,domTokenList=(element.getAttribute('class')||'').replace(/^\s+|\s$/g,'').split(/\s+/g);
        if (domTokenList[0]==='') domTokenList.splice(0,1);
        function setClass(){
            if (domTokenList.length > 0) element.setAttribute('class', domTokenList.join(' ');
            else element.removeAttribute('class');
        }
        domTokenList.toggle=function(className,force){
            if (force!==undefined){
                if (force) domTokenList.add(className);
                else domTokenList.remove(className);
            }
            else {
                if (domTokenList.indexOf(className)!==-1) domTokenList.splice(domTokenList.indexOf(className),1);
                else domTokenList.push(className);
            }
            setClass();
        };
        domTokenList.add=function(){
            var args=[].slice.call(arguments)
            for (var i=0,l=args.length;i<l;i++){
                if (domTokenList.indexOf(args[i])===-1) domTokenList.push(args[i])
            };
            setClass();
        };
        domTokenList.remove=function(){
            var args=[].slice.call(arguments)
            for (var i=0,l=args.length;i<l;i++){
                if (domTokenList.indexOf(args[i])!==-1) domTokenList.splice(domTokenList.indexOf(args[i]),1);
            };
            setClass();
        };
        domTokenList.item=function(i){
            return domTokenList[i];
        };
        domTokenList.contains=function(className){
            return domTokenList.indexOf(className)!==-1;
        };
        domTokenList.replace=function(oldClass,newClass){
            if (domTokenList.indexOf(oldClass)!==-1) domTokenList.splice(domTokenList.indexOf(oldClass),1,newClass);
            setClass();
        };
        domTokenList.value = (element.getAttribute('class')||'');
        return domTokenList;
    }
});