3 problems

Let $G$ be a compact Lie group, let $MU_G$ denote $G$-equivariant complex cobordism, and let $KU_G$ denote equivariant complex K-theory. The relative smash product…

Let $(Q,q_0)$ and $(Q',q'_0)$ be compact pointed Riemannian manifolds. For each $t\in\mathbf{R}$, let $F_{<t}C_*(\Omega_{q_0}Q;\mathbf{C})$ denote the subcomplex generated by loops…

Let $Q$ be a $d$-dimensional $\operatorname{Spin}^c$ manifold, let $\Lambda\subset T^*Q$ be a conic Lagrangian, and let $U\subset Q$ be open. Write…