diff --git a/packages/@ourworldindata/grapher/src/core/Grapher.tsx b/packages/@ourworldindata/grapher/src/core/Grapher.tsx
index aff132f5619..2f77b7d1250 100644
--- a/packages/@ourworldindata/grapher/src/core/Grapher.tsx
+++ b/packages/@ourworldindata/grapher/src/core/Grapher.tsx
@@ -102,6 +102,7 @@ import {
     DetailsMarker,
     DetailDictionary,
     GrapherWindowType,
+    MultiDimDataPageProps,
 } from "@ourworldindata/types"
 import {
     BlankOwidTable,
@@ -210,6 +211,7 @@ declare global {
     interface Window {
         details?: DetailDictionary
         admin?: any // TODO: use stricter type
+        _OWID_MULTI_DIM_PROPS?: MultiDimDataPageProps
     }
 }
 
@@ -854,10 +856,18 @@ export class Grapher
     }
 
     @computed get editUrl(): string | undefined {
+        const yColumnSlugs = this.yColumnSlugs
         if (this.showAdminControls) {
-            return `${this.adminBaseUrl}/admin/${
-                this.manager?.editUrl ?? `charts/${this.id}/edit`
-            }`
+            // This is a workaround to make the edit button work for MDims. We
+            // probably want to do this in a more general way.
+            if (window._OWID_MULTI_DIM_PROPS) {
+                const varId = yColumnSlugs[0]
+
+                return `${this.adminBaseUrl ?? ""}/admin/variables/${varId}/config`
+            } else
+                return `${this.adminBaseUrl}/admin/${
+                    this.manager?.editUrl ?? `charts/${this.id}/edit`
+                }`
         }
         return undefined
     }
diff --git a/packages/@ourworldindata/types/src/siteTypes/MultiDimDataPage.ts b/packages/@ourworldindata/types/src/siteTypes/MultiDimDataPage.ts
index 5ddfb472c50..2f705772005 100644
--- a/packages/@ourworldindata/types/src/siteTypes/MultiDimDataPage.ts
+++ b/packages/@ourworldindata/types/src/siteTypes/MultiDimDataPage.ts
@@ -1,5 +1,6 @@
 import { OwidEnrichedGdocBlock } from "../gdocTypes/ArchieMlComponents.js"
 import { PrimaryTopic } from "../gdocTypes/Datapage.js"
+import { GrapherInterface } from "../grapherTypes/GrapherTypes.js"
 import { IndicatorTitleWithFragments } from "../OwidVariable.js"
 
 // Indicator ID, catalog path, or maybe an array of those
@@ -64,14 +65,8 @@ export interface IndicatorsAfterPreProcessing {
 export interface View<IndicatorsType extends Record<string, any>> {
     dimensions: MultiDimDimensionChoices
     indicators: IndicatorsType
-    config?: Config
+    config?: GrapherInterface
 }
-
-export interface Config {
-    title?: string
-    subtitle?: string
-}
-
 export type MultiDimDimensionChoices = Record<string, string> // Keys: dimension slugs, values: choice slugs
 
 export type FaqEntryKeyedByGdocIdAndFragmentId = {
diff --git a/site/multiDim/MultiDimDataPageContent.tsx b/site/multiDim/MultiDimDataPageContent.tsx
index 4eaba9cfc1e..9c46ce86c36 100644
--- a/site/multiDim/MultiDimDataPageContent.tsx
+++ b/site/multiDim/MultiDimDataPageContent.tsx
@@ -40,7 +40,7 @@ import { useElementBounds, useMobxStateToReactState } from "../hooks.js"
 import { MultiDimSettingsPanel } from "./MultiDimDataPageSettingsPanel.js"
 declare global {
     interface Window {
-        _OWID_MULTI_DIM_PROPS: MultiDimDataPageProps
+        _OWID_MULTI_DIM_PROPS?: MultiDimDataPageProps
     }
 }
 export const OWID_DATAPAGE_CONTENT_ROOT_ID = "owid-datapageJson-root"
@@ -264,6 +264,12 @@ export const MultiDimDataPageContent = ({
             ...currentView?.config,
             dimensions: dimensionsConfig,
             ...baseConfig,
+            // TODO: The way manager and slug are set here are just workarounds to make the edit button in the
+            // share menu work. They should be removed before we publish MDims!
+            manager: {
+                canonicalUrl,
+            },
+            slug: "DUMMY",
         } as GrapherProgrammaticInterface
     }, [
         varGrapherConfig,
@@ -272,6 +278,7 @@ export const MultiDimDataPageContent = ({
         dimensionsConfig,
         bounds,
         config,
+        canonicalUrl,
     ])
 
     const hasTopicTags = !!config.config.topicTags?.length
@@ -440,7 +447,7 @@ export const MultiDimDataPageContent = ({
 
 export const hydrateMultiDimDataPageContent = (isPreviewing?: boolean) => {
     const wrapper = document.querySelector(`#${OWID_DATAPAGE_CONTENT_ROOT_ID}`)
-    const props: MultiDimDataPageProps = window._OWID_MULTI_DIM_PROPS
+    const props: MultiDimDataPageProps = window._OWID_MULTI_DIM_PROPS!
     const initialQueryStr = getWindowQueryStr()
 
     ReactDOM.hydrate(