The authors relate the complex cobordism lift of symplectic cohomology to bulk-deformed symplectic cohomology via a homotopy coherent Grothendieck-Riemann-Roch theorem, provide a criterion for non-base-change cases, and detect non-trivial cobordism classes in relative Gromov-Witten moduli spaces.
Constructing the big relative Fukaya category, and its open-closed maps
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.SG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Associates to a relatively spin Lagrangian an open-closed DM field theory that extends the Fukaya A_infinity algebra to arbitrary genus and boundary components, unique up to homotopy.
citing papers explorer
-
Bulk-deformations, Floer complex bordism, and Grothendieck-Riemann-Roch
The authors relate the complex cobordism lift of symplectic cohomology to bulk-deformed symplectic cohomology via a homotopy coherent Grothendieck-Riemann-Roch theorem, provide a criterion for non-base-change cases, and detect non-trivial cobordism classes in relative Gromov-Witten moduli spaces.
-
Open-closed Deligne-Mumford field theories: construction
Associates to a relatively spin Lagrangian an open-closed DM field theory that extends the Fukaya A_infinity algebra to arbitrary genus and boundary components, unique up to homotopy.