Replace the navigation control by two controls, namely DragPan and MouseWheelZoom. DragPan is the map default drag control. MouseWheelZoom is the map default mouse wheel control.

src/ol/handler/Drag.js

@@ -4,7 +4,8 @@
  * Provides a class for listening to drag sequences on a DOM element and
  * dispatching dragstart, drag and dragend events to a map object.
  *
- * The default behavior for the drag event is moving the map.
+ * Calls handleDragEvent on the map if default is not prevented by
+ * listeners.
  */
 
 goog.provide('ol.handler.Drag');
@@ -101,10 +102,7 @@ ol.handler.Drag.prototype.handleDrag = function(e) {
     this.prevY_ = e.clientY;
     var rt = goog.events.dispatchEvent(this.map_, newE);
     if (rt) {
-        var defaultControl = this.map_.getDefaultControl();
-        if (defaultControl) {
-            defaultControl.defaultDrag(newE);
-        }
+        this.map_.handleDragEvent(newE);
     }
 };