Pith Number

pith:HVBG46E5

pith:2026:HVBG46E5MOCSL6E3WOZHRAHCQM

not attested not anchored not stored refs pending

Gysin maps and wrong way functoriality via geometric deformation groupoids

Paulo Carrillo Rouse, Quentin Karegar Baneh Kohal

Pushforward maps in groupoid (co)homology theories arise naturally from deformation Lie groupoids constructed via normal bundles and the deformation to the normal cone.

arxiv:2605.03584 v2 · 2026-05-05 · math.KT · math.DG

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\pithnumber{HVBG46E5MOCSL6E3WOZHRAHCQM}

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

The main theorems being the functoriality for these pushforward maps which recovers, unifies and generalizes many previous cases. The main new example we develop in this paper is the wrong way functoriality for equivariant (twisted) Orbifold K-theory with respect to a groupoid action.

C2weakest assumption

That the normal bundle and deformation-to-the-normal-cone functors produce deformation Lie groupoids that permit natural geometric pushforward maps in any suitable (co)homology theory for Lie groupoids.

C3one line summary

Deformation Lie groupoids from normal bundles yield functorial Gysin maps in any suitable (co)homology theory for Lie groupoids, unifying earlier cases and giving wrong-way functoriality for equivariant twisted orbifold K-theory.

Receipt and verification

First computed	2026-06-08T01:04:06.450203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d426e789d638525f89bb3b27880e28320346799575736f015d5b941bc5622b0

Aliases

arxiv: 2605.03584 · arxiv_version: 2605.03584v2 · doi: 10.48550/arxiv.2605.03584 · pith_short_12: HVBG46E5MOCS · pith_short_16: HVBG46E5MOCSL6E3 · pith_short_8: HVBG46E5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HVBG46E5MOCSL6E3WOZHRAHCQM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3d426e789d638525f89bb3b27880e28320346799575736f015d5b941bc5622b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a189fd4a882c0551e07d8a9a775a91eabb02562c5ec5e9eec11d3120ec23f72d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2026-05-05T09:53:26Z",
    "title_canon_sha256": "6f10fb75b6ab938b07da1ac96db0073d050658792dfdf99d0ba07bb41d0903ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.03584",
    "kind": "arxiv",
    "version": 2
  }
}