Reduced invariants from cuspidal maps
نویسندگان
چکیده
منابع مشابه
Linear Maps Preserving Invariants
Let G ⊂ GL(V ) be a complex reductive group. Let G denote {φ ∈ GL(V ) | p◦φ = p for all p ∈ C[V ]}. We show that, in general, G = G. In case G is the adjoint group of a simple Lie algebra g, we show that G is an order 2 extension of G. We also calculate G for all representations of SL2.
متن کاملStratifiable Maps and Topological Invariants
Let X and Y be spaces and I: X -+ Y be a map between them. Then a large family of problems in topology (and geometry) involve the attempt to relate the invariants of X and Y via I. This attempt has been successful often for the case X and Y manifolds and I the projection of a fibre bundle, for many types of important invariants. For example, the result of ChernHirzebruch-Serre [CHS] asserts tha...
متن کاملGromov Invariants for Holomorphic Maps from Riemann Surfaces to Grassmannians
Two compactifications of the space of holomorphic maps of fixed degree from a compact Riemann surface to a Grassmannian are studied. It is shown that the Uhlenbeck compactification has the structure of a projective variety and is dominated by the algebraic compactification coming from the Grothendieck Quot Scheme. The latter may be embedded into the moduli space of solutions to a generalized ve...
متن کاملThe Pontrjagin-Hopf invariants for Sobolev maps
Variational problems with topological constraints can exhibit many interesting mathematical properties. There are many open mathematical questions in this area. The diverse properties these problems possess give them the potential for different applications. We find variational problems with topological constraints in high energy physics, hydrodynamics, and material science, [9, 3, 48]. Usually...
متن کاملInvariants of real symplectic 4-manifolds out of reducible and cuspidal curves
We construct invariants under deformation of real symplectic 4-manifolds. These invariants are obtained by counting three different kinds of real rational J-holomorphic curves which realize a given homology class and pass through a given real configuration of (the appropriate number of) points. These curves are cuspidal curves, reducible curves and curves with a prescribed tangent line at some ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2020
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/8141