<form asp-controller="Home" asp-action="SaveForm" data-ajax="true" data-ajax-method="POST">
</form>

var results = $("#Results");
var onBegin = function(){
    results.html("<img src=\"/images/ajax-loader.gif\" alt=\"Loading\" />");
};

var onComplete = function(){
    results.html("");
};

var onSuccess = function(context){
    alert(context);
};

var onFailed = function(context){
    alert("Failed");
};

<form asp-controller="Home" asp-action="SaveForm"
    data-ajax-begin="onBegin" data-ajax-complete="onComplete"
    data-ajax-failure="onFailed" data-ajax-success="onSuccess"
    data-ajax="true" data-ajax-method="POST">
    <input type="submit" value="Save" class="btn btn-primary" />
    <div id="Results"></div>
</form>