UPDATE
TypeScript 1.5.3 added declarations for HTML Touch events to lib.d.ts
I can see that it supports UIEven
Here is a addendum. This code adds type event handlers to HTMLElement. You can add this after the code that defines the TouchEvent interface;
//
// add touch events to HTMLElement
//
interface HTMLElement extends Element, MSHTMLElementRangeExtensions, ElementCSSInlineStyle, MSEventAttachmentTarget, MSHTMLElementExtensions, MSNodeExtensions {
ontouchstart: (ev: TouchEvent) => any;
ontouchmove: (ev: TouchEvent) => any;
ontouchend: (ev: TouchEvent) => any;
ontouchcancel: (ev: TouchEvent) => any;
}