A biased view of symplectic cohomology

By P. Seidel. 2007

287 citations recorded by the source corpus.

We correct an error in (1), pointed out to the author by Ritter. This Erratum will not be published.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/99d5b35baec8877d8bf0600f86aaabb4204852b8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

An open string analogue of Viterbo functoriality (2007, background): “There are several surveys covering aspects of this material, for instance Oancea [24] and Seidel [26].”
Topological quantum field theory structure on symplectic cohomology (2010, methodology): “For Liouville subdomainsW ⊂M , Viterbo [36] constructed a restriction map SH∗(M)→ SH∗(W ) and McLean [22] observed that it is a ring homomorphism.”
Symplectic homology and the Eilenberg-Steenrod axioms (2015, methodology): “Following Seidel [67] and [18, 73], the relevant structure is that of an S(1)-complex, meaning a Z-graded chain complex (C∗, ∂) together with a sequence of maps ∂i : C∗ → C∗+2i−1, i ≥ 0 such that ∂0 = ∂ and (50) ∑”
Symplectic capacities from positive S1–equivariant symplectic homology (2017, methodology): “ive) symplectic homology was originally dened by Viterbo [Vit99], and an alternate definition using family Floer homology was given by Bourgeois-Oancea [BO16, x2.2], following a suggestion of Seidel [Sei08]. We will use the family Floer homology de- nition here, because it is more amenable to comput”
Lefschetz fibrations and symplectic homology (2007, methodology): “The basic idea of the proof is to use Lefschetz fibrations defined in an algebraic way.”
Reeb orbits and the minimal discrepancy of an isolated singularity (2014, unknown): “tible with ∪iEi. We will now show that the link of Ais contactomorphic to the contact link of ∪iEi using our function fA. The proof of this fact is very similar to the proofs of Lemmas 4.3 and 4.4 in [Sei08]. Let z1,··· ,zN be the natural coordinates on CN. Deﬁne φ: Aeδ\∪iEi→ Rto be the pullback of ”
Floer homology of cotangent bundles and the loop product (2008, unknown): “2], but see also Seidel [47] for a different approach).”
Mirror symmetry and T-duality in the complement of an anticanonical divisor (2007, background): “by Seidel in Section 5c of [27], the following result essentially follows from Fukaya-OhOhta-Ono’s construction of A∞-homomorphisms associated to wall-crossing (we give a sketch of proof for completeness):”
Cobordisms of sutured manifolds and the functoriality of link Floer homology (2009, background): “The following definition extends the notions of [3] and [21] to sutured manifolds.”