Is there any way to add links on the top, as pictured below?
They are filtered via the views_[screen-id] filter. The screen-id of the edit post page is edit-post, so you can modify the links like this:
add_action( 'views_edit-post', 'wpse17484_views_edit_post' );
function wpse17484_views_edit_post( $views )
$views['wpse17484'] = '<a href="my-url">My action</a>';
You can see the code that generates the post views in WP_Posts_List_Table::get_views().
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5 years ago