diff --git a/sphinx_searchlite/static/engine/searchlite.js b/sphinx_searchlite/static/engine/searchlite.js
index be31485..2c1eb70 100644
--- a/sphinx_searchlite/static/engine/searchlite.js
+++ b/sphinx_searchlite/static/engine/searchlite.js
@@ -196,6 +196,12 @@
               return [];
             })
             .then(function (records) {
+              // Record urls are relative to the documentation root, but a page
+              // nested below it would resolve them against its own directory.
+              var root = new URL("../", new URL(url, document.baseURI));
+              records.forEach(function (record) {
+                record.u = new URL(record.u, root).href;
+              });
               index = build(records);
               return index;
             });
diff --git a/sphinx_searchlite/static/ui/searchlite-ui.js b/sphinx_searchlite/static/ui/searchlite-ui.js
index f2a17c1..99d692a 100644
--- a/sphinx_searchlite/static/ui/searchlite-ui.js
+++ b/sphinx_searchlite/static/ui/searchlite-ui.js
@@ -142,8 +142,15 @@
         seen.add(field);
         field.classList.add("searchlite-adopted");
         field.readOnly = true;
-        field.addEventListener("focus", open);
         field.addEventListener("click", open);
+        // Opening on `focus` traps the user: closing the dialog restores focus
+        // to the field that opened it, which would immediately reopen it.
+        field.addEventListener("keydown", function (event) {
+          if (event.key === "Enter" || event.key === " ") {
+            event.preventDefault();
+            open();
+          }
+        });
         var form = field.closest("form");
         if (form) {
           form.addEventListener("submit", function (event) {
@@ -174,6 +181,11 @@
         event.preventDefault();
         window.location.href = active.href;
       }
+    } else if (event.key === "Escape") {
+      // `<input type=search>` swallows the first Escape to clear itself, which
+      // would leave the dialog needing two presses despite the `Esc` hint.
+      event.preventDefault();
+      dialog.close();
     }
   });
 
diff --git a/sphinx_searchlite/tests/test_searchlite.py b/sphinx_searchlite/tests/test_searchlite.py
index df1cdb9..54370eb 100644
--- a/sphinx_searchlite/tests/test_searchlite.py
+++ b/sphinx_searchlite/tests/test_searchlite.py
@@ -117,6 +117,14 @@ def test_index_is_still_emitted(self, built):
         assert (built / "_static" / "searchlite-index.json").is_file()
 
 
+class TestResultLinks:
+    def test_urls_resolve_against_the_documentation_root(self, built):
+        js = (built / "_static" / "searchlite.js").read_text()
+        # Records store root-relative urls, so a page nested below the root
+        # would otherwise resolve them against its own directory.
+        assert 'new URL("../", new URL(url, document.baseURI))' in js
+
+
 class TestThemeSearchAdoption:
     def test_adoption_is_advertised_to_the_ui_script(self, built):
         assert 'data-searchlite-adopt="true"' in (built / "guide.html").read_text()
@@ -125,6 +133,17 @@ def test_adoption_can_be_switched_off(self, tmp_path_factory):
         out = _build(tmp_path_factory, CONF + "\nsearchlite_adopt_theme_search = False\n", "src_no_adopt")
         assert 'data-searchlite-adopt="false"' in (out / "guide.html").read_text()
 
+    def test_adopted_fields_do_not_reopen_the_dialog_on_focus(self, built):
+        js = (built / "_static" / "searchlite-ui.js").read_text()
+        # Closing the dialog restores focus to the field that opened it, so an
+        # opener bound to `focus` would reopen it and trap the reader.
+        assert 'field.addEventListener("focus", open)' not in js
+
+    def test_escape_closes_the_dialog_on_the_first_press(self, built):
+        js = (built / "_static" / "searchlite-ui.js").read_text()
+        # `<input type=search>` eats the first Escape to clear itself.
+        assert 'event.key === "Escape"' in js
+
     def test_styles_no_longer_hardcode_a_dark_palette(self, built):
         css = (built / "_static" / "searchlite.css").read_text()
         # Colours are adopted from the host page instead, since themes signal