The public_path function returns the fully qualified path to your application's public directory. You may also use the public_path function to generate a fully qualified path to a given file within the public directory:
<?php $path = public_path();

$path = public_path('css/app.css');
<?php         app('livewire')->provide(function() {

            $this->publishes(

                [

                    __DIR__.'/../../../dist' => public_path('vendor/livewire'),

                ],

                'livewire:assets',

            );
<?php         $assetWarning = null;




        if (! file_exists(public_path('vendor/livewire/manifest.json'))) {

            return [$url, $assetWarning];

        }
<?php             return [$url, $assetWarning];

        }



        $publishedManifest = json_decode(file_get_contents(public_path('vendor/livewire/manifest.json')), true);

        $versionedFileName = $publishedManifest['/livewire.js'];



        $fileName = config('app.debug') ? '/livewire.js' : '/livewire.min.js';