Turkey Burgers With Pesto Mayonnaise

Name: Turkey Burgers With Pesto Mayonnaise
Ingredients: 1 1/2 teaspoons extra-virgin olive oil; 1 small onion, finely chopped; 1 garlic clove, minced; 2 tablespoons water; 1 1/2 pounds ground turkey breast meat; 1 1/2 tablespoons panko (Japanese bread crumbs); Kosher salt and freshly ground pepper; 4 whole wheat kaiser rolls, split; 4 oil-packed sun-dried tomatoes, drained and chopped, plus 1 tablespoon oil from the jar; 2 tablespoons prepared mayonnaise; 1 tablespoon prepared pesto; Red onion slices; 1 bunch arugula, tough stems trimmed