02657cam 22004458i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000290013305000230016208400220018510000410020724501130024826300090036126400570037030000340042733600260046133700280048733800270051549000740054250400410061650503190065750600500097652004610102653300950148753800360158258800470161865000210166565000200168665000310170665000170173765001260175465001060188077601320198685600450211885600480216322488282RPAM20220502132849.0m b 000 0 cr/|||||||||||220502s2022 riu ob 000 0 eng  a9781470470166 (online) aDLCbengerdacDLCdRPAM00aQA612.3b.K88 2022 a53D40a57M272msc1 aKutluhan, ðCaægatay,d1980-eauthor.10aSutured ECH is a natural invariant /h[electronic resource] cðCaægatay Kutluhan, Steven Sivek, C.H. Taubes. a2205 1aProvidence :bAmerican Mathematical Society,c[2022] a1 online resource (pages cm.) atextbtxt2rdacontent aunmediatedbn2rdamedia avolumebnc2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1350 aIncludes bibliographical references.00t1. Introductiont2. Sutured ECH and some related constructionst3. Independence of the almost complex structuret4. Independence of the contact formt5. Some properties of the contact classt6. Invariance under gluing 1-handlest7. Stabilization and a canonical version of sutured ECHtA. Appendix by C. H. Taubes1 aAccess is restricted to licensed institutions a"We show that sutured embedded contact homology is a natural invariant of sutured contact 3-manifolds which can potentially detect some of the topology of the space of contact structures on a 3-manifold with boundary. The appendix, by C. H. Taubes, proves a compactness result for the completion of a sutured contact 3-manifold in the context of Seiberg-Witten Floer homology, which enables us to complete the proof of naturality"--cProvided by publisher. aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2022 aMode of access : World Wide Web aDescription based on print version record. 0aHomology theory. 0aFloer homology. 0aThree-manifolds (Topology) 0aKnot theory. 7aDifferential geometry -- Symplectic geometry, contact geometry -- Floer homology and cohomology, symplectic aspects.2msc 7aManifolds and cell complexes -- Low-dimensional topology -- Invariants of knots and 3-manifolds.2msc0 iPrint version: aKutluhan, ðCaægatay, 1980-tSutured ECH is a natural invariant /w(DLC) 2022007683x0065-9266z97814704505404 3Contentsuhttps://www.ams.org/memo/1350/4 3Contentsuhttps://doi.org/10.1090/memo/1350