Pith Number

pith:DQVLM4FK

pith:2024:DQVLM4FKJT2HTTFVQYIQH43FFN

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The two-boost problem and Lagrangian Rabinowitz Floer homology

Eva Miranda, Jagna Wi\'sniewska, Kai Cieliebak, Urs Frauenfelder

Two boosts of given energy connect any two points in phase space for a class of systems related to the restricted three-body problem.

arxiv:2412.08415 v2 · 2024-12-11 · math.SG

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Claims

C1strongest claim

We provide a positive answer for a class of systems related to the restricted three-body problem by defining and computing its Lagrangian Rabinowitz Floer homology.

C2weakest assumption

The energy hypersurfaces for the chosen class of systems admit a well-defined Lagrangian Rabinowitz Floer homology despite their noncompactness, allowing the computation to yield the positive connectivity result.

C3one line summary

Defines and computes Lagrangian Rabinowitz Floer homology to prove positive solvability of the two-boost problem for certain restricted three-body systems by addressing noncompact energy hypersurfaces.

References

16 extracted · 16 resolved · 0 Pith anchors

[1] Estimates and computations in Rabinowitz- Floer homology 2009

[2] M. Audin and M. Damian. Morse theory and Floer homology. Springer, 2014 2014

[3] Cannas da Silva 2001

[4] A Floer homology for exact contact em- beddings 2009

[5] Symplectic topology of Ma˜ n´ e’s critical values 2010

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Two-boost problem for the Newtonian potential at the infinity

Receipt and verification

First computed	2026-05-25T02:02:06.010988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c2ab670aa4cf479ccb5861103f3652b4261f483f692428a0399e564eeafea16

Aliases

arxiv: 2412.08415 · arxiv_version: 2412.08415v2 · doi: 10.48550/arxiv.2412.08415 · pith_short_12: DQVLM4FKJT2H · pith_short_16: DQVLM4FKJT2HTTFV · pith_short_8: DQVLM4FK

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/DQVLM4FKJT2HTTFVQYIQH43FFN \
  | 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: 1c2ab670aa4cf479ccb5861103f3652b4261f483f692428a0399e564eeafea16

Canonical record JSON

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    "abstract_canon_sha256": "5c267121537d61d5433b67dd1e014fddbff9eda547852e2251fc119ccec422ee",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-12-11T14:33:44Z",
    "title_canon_sha256": "7ab4aeec535d0ec1bcce57f079db0108e6b3e7848276f83e75584c69fea4f194"
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  "source": {
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    "kind": "arxiv",
    "version": 2
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